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Finding the Fourth Proportional to 151.71, 207.56 and 151.11

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Solution

The fourth proportional to 151.71, 207.56 and 151.11 is: 206.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.71 : 207.56 = 151.11 : x
  2. Step 2: Convert to fraction form
    151.71/207.56 = 151.11/x
  3. Step 3: Cross multiply
    151.71x = 207.56 × 151.11
  4. Step 4: Simplify right side
    151.71x = 31,363.64
  5. Step 5: Solve for x
    x = 31,363.64/151.71
  6. Step 6: Final answer
    x = 206.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.