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Finding the Fourth Proportional to 151.68, 209.33 and 92.67

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Solution

The fourth proportional to 151.68, 209.33 and 92.67 is: 127.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.68 : 209.33 = 92.67 : x
  2. Step 2: Convert to fraction form
    151.68/209.33 = 92.67/x
  3. Step 3: Cross multiply
    151.68x = 209.33 × 92.67
  4. Step 4: Simplify right side
    151.68x = 19,398.61
  5. Step 5: Solve for x
    x = 19,398.61/151.68
  6. Step 6: Final answer
    x = 127.89

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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.