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Finding the Fourth Proportional to 159.64, 240.28 and 142

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Solution

The fourth proportional to 159.64, 240.28 and 142 is: 213.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.64 : 240.28 = 142 : x
  2. Step 2: Convert to fraction form
    159.64/240.28 = 142/x
  3. Step 3: Cross multiply
    159.64x = 240.28 × 142
  4. Step 4: Simplify right side
    159.64x = 34,119.76
  5. Step 5: Solve for x
    x = 34,119.76/159.64
  6. Step 6: Final answer
    x = 213.73

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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.