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Finding the Fourth Proportional to 402.83, 604.16 and 142.87

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Solution

The fourth proportional to 402.83, 604.16 and 142.87 is: 214.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.83 : 604.16 = 142.87 : x
  2. Step 2: Convert to fraction form
    402.83/604.16 = 142.87/x
  3. Step 3: Cross multiply
    402.83x = 604.16 × 142.87
  4. Step 4: Simplify right side
    402.83x = 86,312.60
  5. Step 5: Solve for x
    x = 86,312.60/402.83
  6. Step 6: Final answer
    x = 214.27

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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.