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Finding the Fourth Proportional to 159.78, 240.87 and 149.34

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Solution

The fourth proportional to 159.78, 240.87 and 149.34 is: 225.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.78 : 240.87 = 149.34 : x
  2. Step 2: Convert to fraction form
    159.78/240.87 = 149.34/x
  3. Step 3: Cross multiply
    159.78x = 240.87 × 149.34
  4. Step 4: Simplify right side
    159.78x = 35,971.53
  5. Step 5: Solve for x
    x = 35,971.53/159.78
  6. Step 6: Final answer
    x = 225.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.