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Finding the Fourth Proportional to 397.55, 596.14 and 147.31

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Solution

The fourth proportional to 397.55, 596.14 and 147.31 is: 220.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.55 : 596.14 = 147.31 : x
  2. Step 2: Convert to fraction form
    397.55/596.14 = 147.31/x
  3. Step 3: Cross multiply
    397.55x = 596.14 × 147.31
  4. Step 4: Simplify right side
    397.55x = 87,816.82
  5. Step 5: Solve for x
    x = 87,816.82/397.55
  6. Step 6: Final answer
    x = 220.89

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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.