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Finding the Fourth Proportional to 151.53, 209.21 and 135.96

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Solution

The fourth proportional to 151.53, 209.21 and 135.96 is: 187.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.53 : 209.21 = 135.96 : x
  2. Step 2: Convert to fraction form
    151.53/209.21 = 135.96/x
  3. Step 3: Cross multiply
    151.53x = 209.21 × 135.96
  4. Step 4: Simplify right side
    151.53x = 28,443.51
  5. Step 5: Solve for x
    x = 28,443.51/151.53
  6. Step 6: Final answer
    x = 187.71

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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.