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Finding the Fourth Proportional to 269.70, 372.12 and 151.65

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Solution

The fourth proportional to 269.70, 372.12 and 151.65 is: 209.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.70 : 372.12 = 151.65 : x
  2. Step 2: Convert to fraction form
    269.70/372.12 = 151.65/x
  3. Step 3: Cross multiply
    269.70x = 372.12 × 151.65
  4. Step 4: Simplify right side
    269.70x = 56,432.00
  5. Step 5: Solve for x
    x = 56,432.00/269.70
  6. Step 6: Final answer
    x = 209.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.