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Finding the Fourth Proportional to 151.31, 209 and 137.45

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Solution

The fourth proportional to 151.31, 209 and 137.45 is: 189.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.31 : 209 = 137.45 : x
  2. Step 2: Convert to fraction form
    151.31/209 = 137.45/x
  3. Step 3: Cross multiply
    151.31x = 209 × 137.45
  4. Step 4: Simplify right side
    151.31x = 28,727.05
  5. Step 5: Solve for x
    x = 28,727.05/151.31
  6. Step 6: Final answer
    x = 189.86

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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.