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Finding the Fourth Proportional to 332.12, 497.78 and 149.46

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Solution

The fourth proportional to 332.12, 497.78 and 149.46 is: 224.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.12 : 497.78 = 149.46 : x
  2. Step 2: Convert to fraction form
    332.12/497.78 = 149.46/x
  3. Step 3: Cross multiply
    332.12x = 497.78 × 149.46
  4. Step 4: Simplify right side
    332.12x = 74,398.20
  5. Step 5: Solve for x
    x = 74,398.20/332.12
  6. Step 6: Final answer
    x = 224.01

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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.