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Finding the Fourth Proportional to 402.76, 604.38 and 142.96

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Solution

The fourth proportional to 402.76, 604.38 and 142.96 is: 214.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.76 : 604.38 = 142.96 : x
  2. Step 2: Convert to fraction form
    402.76/604.38 = 142.96/x
  3. Step 3: Cross multiply
    402.76x = 604.38 × 142.96
  4. Step 4: Simplify right side
    402.76x = 86,402.16
  5. Step 5: Solve for x
    x = 86,402.16/402.76
  6. Step 6: Final answer
    x = 214.53

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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.