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Finding the Fourth Proportional to 553.14, 763.20 and 356.61

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Solution

The fourth proportional to 553.14, 763.20 and 356.61 is: 492.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.14 : 763.20 = 356.61 : x
  2. Step 2: Convert to fraction form
    553.14/763.20 = 356.61/x
  3. Step 3: Cross multiply
    553.14x = 763.20 × 356.61
  4. Step 4: Simplify right side
    553.14x = 272,167.61
  5. Step 5: Solve for x
    x = 272,167.61/553.14
  6. Step 6: Final answer
    x = 492.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.