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Finding the Fourth Proportional to 159.64, 240.37 and 125.60

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Solution

The fourth proportional to 159.64, 240.37 and 125.60 is: 189.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.64 : 240.37 = 125.60 : x
  2. Step 2: Convert to fraction form
    159.64/240.37 = 125.60/x
  3. Step 3: Cross multiply
    159.64x = 240.37 × 125.60
  4. Step 4: Simplify right side
    159.64x = 30,190.47
  5. Step 5: Solve for x
    x = 30,190.47/159.64
  6. Step 6: Final answer
    x = 189.12

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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.