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Finding the Fourth Proportional to 151.36, 209.08 and 112.72

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Solution

The fourth proportional to 151.36, 209.08 and 112.72 is: 155.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.36 : 209.08 = 112.72 : x
  2. Step 2: Convert to fraction form
    151.36/209.08 = 112.72/x
  3. Step 3: Cross multiply
    151.36x = 209.08 × 112.72
  4. Step 4: Simplify right side
    151.36x = 23,567.50
  5. Step 5: Solve for x
    x = 23,567.50/151.36
  6. Step 6: Final answer
    x = 155.70

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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.