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Finding the Fourth Proportional to 332.08, 497.70 and 149.42

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Solution

The fourth proportional to 332.08, 497.70 and 149.42 is: 223.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.08 : 497.70 = 149.42 : x
  2. Step 2: Convert to fraction form
    332.08/497.70 = 149.42/x
  3. Step 3: Cross multiply
    332.08x = 497.70 × 149.42
  4. Step 4: Simplify right side
    332.08x = 74,366.33
  5. Step 5: Solve for x
    x = 74,366.33/332.08
  6. Step 6: Final answer
    x = 223.94

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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.