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Finding the Fourth Proportional to 101.90, 152.84 and 85.66

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Solution

The fourth proportional to 101.90, 152.84 and 85.66 is: 128.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.90 : 152.84 = 85.66 : x
  2. Step 2: Convert to fraction form
    101.90/152.84 = 85.66/x
  3. Step 3: Cross multiply
    101.90x = 152.84 × 85.66
  4. Step 4: Simplify right side
    101.90x = 13,092.27
  5. Step 5: Solve for x
    x = 13,092.27/101.90
  6. Step 6: Final answer
    x = 128.48

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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.