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Finding the Fourth Proportional to 159.53, 240.46 and 149.62

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Solution

The fourth proportional to 159.53, 240.46 and 149.62 is: 225.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.53 : 240.46 = 149.62 : x
  2. Step 2: Convert to fraction form
    159.53/240.46 = 149.62/x
  3. Step 3: Cross multiply
    159.53x = 240.46 × 149.62
  4. Step 4: Simplify right side
    159.53x = 35,976.05
  5. Step 5: Solve for x
    x = 35,976.05/159.53
  6. Step 6: Final answer
    x = 225.52

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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.