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Finding the Fourth Proportional to 402.59, 555.66 and 255.17

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Solution

The fourth proportional to 402.59, 555.66 and 255.17 is: 352.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.59 : 555.66 = 255.17 : x
  2. Step 2: Convert to fraction form
    402.59/555.66 = 255.17/x
  3. Step 3: Cross multiply
    402.59x = 555.66 × 255.17
  4. Step 4: Simplify right side
    402.59x = 141,784.98
  5. Step 5: Solve for x
    x = 141,784.98/402.59
  6. Step 6: Final answer
    x = 352.19

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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.