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Finding the Fourth Proportional to 151.57, 209.36 and 112.30

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Solution

The fourth proportional to 151.57, 209.36 and 112.30 is: 155.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.57 : 209.36 = 112.30 : x
  2. Step 2: Convert to fraction form
    151.57/209.36 = 112.30/x
  3. Step 3: Cross multiply
    151.57x = 209.36 × 112.30
  4. Step 4: Simplify right side
    151.57x = 23,511.13
  5. Step 5: Solve for x
    x = 23,511.13/151.57
  6. Step 6: Final answer
    x = 155.12

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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.