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Finding the Fourth Proportional to 331.47, 497.25 and 148.86

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Solution

The fourth proportional to 331.47, 497.25 and 148.86 is: 223.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.47 : 497.25 = 148.86 : x
  2. Step 2: Convert to fraction form
    331.47/497.25 = 148.86/x
  3. Step 3: Cross multiply
    331.47x = 497.25 × 148.86
  4. Step 4: Simplify right side
    331.47x = 74,020.64
  5. Step 5: Solve for x
    x = 74,020.64/331.47
  6. Step 6: Final answer
    x = 223.31

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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.