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Finding the Fourth Proportional to 151.02, 209.81 and 149.54

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Solution

The fourth proportional to 151.02, 209.81 and 149.54 is: 207.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.02 : 209.81 = 149.54 : x
  2. Step 2: Convert to fraction form
    151.02/209.81 = 149.54/x
  3. Step 3: Cross multiply
    151.02x = 209.81 × 149.54
  4. Step 4: Simplify right side
    151.02x = 31,374.31
  5. Step 5: Solve for x
    x = 31,374.31/151.02
  6. Step 6: Final answer
    x = 207.75

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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.