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Finding the Fourth Proportional to 402.63, 604.29 and 159.33

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Solution

The fourth proportional to 402.63, 604.29 and 159.33 is: 239.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.63 : 604.29 = 159.33 : x
  2. Step 2: Convert to fraction form
    402.63/604.29 = 159.33/x
  3. Step 3: Cross multiply
    402.63x = 604.29 × 159.33
  4. Step 4: Simplify right side
    402.63x = 96,281.53
  5. Step 5: Solve for x
    x = 96,281.53/402.63
  6. Step 6: Final answer
    x = 239.13

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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.