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Finding the Fourth Proportional to 159.64, 240.39 and 139.59

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Solution

The fourth proportional to 159.64, 240.39 and 139.59 is: 210.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.64 : 240.39 = 139.59 : x
  2. Step 2: Convert to fraction form
    159.64/240.39 = 139.59/x
  3. Step 3: Cross multiply
    159.64x = 240.39 × 139.59
  4. Step 4: Simplify right side
    159.64x = 33,556.04
  5. Step 5: Solve for x
    x = 33,556.04/159.64
  6. Step 6: Final answer
    x = 210.20

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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.