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Finding the Fourth Proportional to 159.60, 238.20 and 140.40

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Solution

The fourth proportional to 159.60, 238.20 and 140.40 is: 209.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.60 : 238.20 = 140.40 : x
  2. Step 2: Convert to fraction form
    159.60/238.20 = 140.40/x
  3. Step 3: Cross multiply
    159.60x = 238.20 × 140.40
  4. Step 4: Simplify right side
    159.60x = 33,443.28
  5. Step 5: Solve for x
    x = 33,443.28/159.60
  6. Step 6: Final answer
    x = 209.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.