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Finding the Fourth Proportional to 151.86, 209.34 and 110.46

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Solution

The fourth proportional to 151.86, 209.34 and 110.46 is: 152.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.86 : 209.34 = 110.46 : x
  2. Step 2: Convert to fraction form
    151.86/209.34 = 110.46/x
  3. Step 3: Cross multiply
    151.86x = 209.34 × 110.46
  4. Step 4: Simplify right side
    151.86x = 23,123.70
  5. Step 5: Solve for x
    x = 23,123.70/151.86
  6. Step 6: Final answer
    x = 152.27

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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.