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Finding the Fourth Proportional to 160.21, 240.17 and 77.90

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Solution

The fourth proportional to 160.21, 240.17 and 77.90 is: 116.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.21 : 240.17 = 77.90 : x
  2. Step 2: Convert to fraction form
    160.21/240.17 = 77.90/x
  3. Step 3: Cross multiply
    160.21x = 240.17 × 77.90
  4. Step 4: Simplify right side
    160.21x = 18,708.77
  5. Step 5: Solve for x
    x = 18,708.77/160.21
  6. Step 6: Final answer
    x = 116.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.