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Finding the Fourth Proportional to 402.26, 602.85 and 257.72

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Solution

The fourth proportional to 402.26, 602.85 and 257.72 is: 386.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.26 : 602.85 = 257.72 : x
  2. Step 2: Convert to fraction form
    402.26/602.85 = 257.72/x
  3. Step 3: Cross multiply
    402.26x = 602.85 × 257.72
  4. Step 4: Simplify right side
    402.26x = 155,366.50
  5. Step 5: Solve for x
    x = 155,366.50/402.26
  6. Step 6: Final answer
    x = 386.23

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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.