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Finding the Fourth Proportional to 549.24, 823.36 and 275.10

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Solution

The fourth proportional to 549.24, 823.36 and 275.10 is: 412.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.24 : 823.36 = 275.10 : x
  2. Step 2: Convert to fraction form
    549.24/823.36 = 275.10/x
  3. Step 3: Cross multiply
    549.24x = 823.36 × 275.10
  4. Step 4: Simplify right side
    549.24x = 226,506.34
  5. Step 5: Solve for x
    x = 226,506.34/549.24
  6. Step 6: Final answer
    x = 412.40

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.