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Finding the Fourth Proportional to 331.91, 497.71 and 100.74

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Solution

The fourth proportional to 331.91, 497.71 and 100.74 is: 151.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.91 : 497.71 = 100.74 : x
  2. Step 2: Convert to fraction form
    331.91/497.71 = 100.74/x
  3. Step 3: Cross multiply
    331.91x = 497.71 × 100.74
  4. Step 4: Simplify right side
    331.91x = 50,141.30
  5. Step 5: Solve for x
    x = 50,141.30/331.91
  6. Step 6: Final answer
    x = 151.07

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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.