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Finding the Fourth Proportional to 151.12, 209.44 and 149.04

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Solution

The fourth proportional to 151.12, 209.44 and 149.04 is: 206.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.12 : 209.44 = 149.04 : x
  2. Step 2: Convert to fraction form
    151.12/209.44 = 149.04/x
  3. Step 3: Cross multiply
    151.12x = 209.44 × 149.04
  4. Step 4: Simplify right side
    151.12x = 31,214.29
  5. Step 5: Solve for x
    x = 31,214.29/151.12
  6. Step 6: Final answer
    x = 206.56

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.