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Finding the Fourth Proportional to 402.76, 557.04 and 359.02

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Solution

The fourth proportional to 402.76, 557.04 and 359.02 is: 496.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.76 : 557.04 = 359.02 : x
  2. Step 2: Convert to fraction form
    402.76/557.04 = 359.02/x
  3. Step 3: Cross multiply
    402.76x = 557.04 × 359.02
  4. Step 4: Simplify right side
    402.76x = 199,988.50
  5. Step 5: Solve for x
    x = 199,988.50/402.76
  6. Step 6: Final answer
    x = 496.55

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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.