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Finding the Fourth Proportional to 549.65, 823.76 and 261.17

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Solution

The fourth proportional to 549.65, 823.76 and 261.17 is: 391.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.65 : 823.76 = 261.17 : x
  2. Step 2: Convert to fraction form
    549.65/823.76 = 261.17/x
  3. Step 3: Cross multiply
    549.65x = 823.76 × 261.17
  4. Step 4: Simplify right side
    549.65x = 215,140.09
  5. Step 5: Solve for x
    x = 215,140.09/549.65
  6. Step 6: Final answer
    x = 391.41

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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.