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Finding the Fourth Proportional to 159.68, 220.02 and 107.84

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Solution

The fourth proportional to 159.68, 220.02 and 107.84 is: 148.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.68 : 220.02 = 107.84 : x
  2. Step 2: Convert to fraction form
    159.68/220.02 = 107.84/x
  3. Step 3: Cross multiply
    159.68x = 220.02 × 107.84
  4. Step 4: Simplify right side
    159.68x = 23,726.96
  5. Step 5: Solve for x
    x = 23,726.96/159.68
  6. Step 6: Final answer
    x = 148.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.