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Finding the Fourth Proportional to 151.50, 209 and 107.86

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Solution

The fourth proportional to 151.50, 209 and 107.86 is: 148.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.50 : 209 = 107.86 : x
  2. Step 2: Convert to fraction form
    151.50/209 = 107.86/x
  3. Step 3: Cross multiply
    151.50x = 209 × 107.86
  4. Step 4: Simplify right side
    151.50x = 22,542.74
  5. Step 5: Solve for x
    x = 22,542.74/151.50
  6. Step 6: Final answer
    x = 148.80

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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.