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Finding the Fourth Proportional to 159.54, 240.23 and 144.65

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Solution

The fourth proportional to 159.54, 240.23 and 144.65 is: 217.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.54 : 240.23 = 144.65 : x
  2. Step 2: Convert to fraction form
    159.54/240.23 = 144.65/x
  3. Step 3: Cross multiply
    159.54x = 240.23 × 144.65
  4. Step 4: Simplify right side
    159.54x = 34,747.35
  5. Step 5: Solve for x
    x = 34,747.35/159.54
  6. Step 6: Final answer
    x = 217.80

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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.