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Finding the Fourth Proportional to 549.36, 823.50 and 224.64

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Solution

The fourth proportional to 549.36, 823.50 and 224.64 is: 336.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.36 : 823.50 = 224.64 : x
  2. Step 2: Convert to fraction form
    549.36/823.50 = 224.64/x
  3. Step 3: Cross multiply
    549.36x = 823.50 × 224.64
  4. Step 4: Simplify right side
    549.36x = 184,991.04
  5. Step 5: Solve for x
    x = 184,991.04/549.36
  6. Step 6: Final answer
    x = 336.74

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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.