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Finding the Fourth Proportional to 402.56, 603.92 and 146.08

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Solution

The fourth proportional to 402.56, 603.92 and 146.08 is: 219.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.56 : 603.92 = 146.08 : x
  2. Step 2: Convert to fraction form
    402.56/603.92 = 146.08/x
  3. Step 3: Cross multiply
    402.56x = 603.92 × 146.08
  4. Step 4: Simplify right side
    402.56x = 88,220.63
  5. Step 5: Solve for x
    x = 88,220.63/402.56
  6. Step 6: Final answer
    x = 219.15

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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.