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Finding the Fourth Proportional to 159.60, 240.65 and 140.24

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Solution

The fourth proportional to 159.60, 240.65 and 140.24 is: 211.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.60 : 240.65 = 140.24 : x
  2. Step 2: Convert to fraction form
    159.60/240.65 = 140.24/x
  3. Step 3: Cross multiply
    159.60x = 240.65 × 140.24
  4. Step 4: Simplify right side
    159.60x = 33,746.85
  5. Step 5: Solve for x
    x = 33,746.85/159.60
  6. Step 6: Final answer
    x = 211.45

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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.