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Finding the Fourth Proportional to 151.96, 209.56 and 125.64

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Solution

The fourth proportional to 151.96, 209.56 and 125.64 is: 173.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.96 : 209.56 = 125.64 : x
  2. Step 2: Convert to fraction form
    151.96/209.56 = 125.64/x
  3. Step 3: Cross multiply
    151.96x = 209.56 × 125.64
  4. Step 4: Simplify right side
    151.96x = 26,329.12
  5. Step 5: Solve for x
    x = 26,329.12/151.96
  6. Step 6: Final answer
    x = 173.26

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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.