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Finding the Fourth Proportional to 101.60, 152.20 and 85.40

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Solution

The fourth proportional to 101.60, 152.20 and 85.40 is: 127.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.60 : 152.20 = 85.40 : x
  2. Step 2: Convert to fraction form
    101.60/152.20 = 85.40/x
  3. Step 3: Cross multiply
    101.60x = 152.20 × 85.40
  4. Step 4: Simplify right side
    101.60x = 12,997.88
  5. Step 5: Solve for x
    x = 12,997.88/101.60
  6. Step 6: Final answer
    x = 127.93

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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.