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Finding the Fourth Proportional to 151.41, 208.98 and 85.92

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Solution

The fourth proportional to 151.41, 208.98 and 85.92 is: 118.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.41 : 208.98 = 85.92 : x
  2. Step 2: Convert to fraction form
    151.41/208.98 = 85.92/x
  3. Step 3: Cross multiply
    151.41x = 208.98 × 85.92
  4. Step 4: Simplify right side
    151.41x = 17,955.56
  5. Step 5: Solve for x
    x = 17,955.56/151.41
  6. Step 6: Final answer
    x = 118.59

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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.