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Finding the Fourth Proportional to 332.62, 494.87 and 315.34

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Solution

The fourth proportional to 332.62, 494.87 and 315.34 is: 469.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.62 : 494.87 = 315.34 : x
  2. Step 2: Convert to fraction form
    332.62/494.87 = 315.34/x
  3. Step 3: Cross multiply
    332.62x = 494.87 × 315.34
  4. Step 4: Simplify right side
    332.62x = 156,052.31
  5. Step 5: Solve for x
    x = 156,052.31/332.62
  6. Step 6: Final answer
    x = 469.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.