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Finding the Fourth Proportional to 86.01, 129 and 28.23

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Solution

The fourth proportional to 86.01, 129 and 28.23 is: 42.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.01 : 129 = 28.23 : x
  2. Step 2: Convert to fraction form
    86.01/129 = 28.23/x
  3. Step 3: Cross multiply
    86.01x = 129 × 28.23
  4. Step 4: Simplify right side
    86.01x = 3,641.67
  5. Step 5: Solve for x
    x = 3,641.67/86.01
  6. Step 6: Final answer
    x = 42.34

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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.