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Finding the Fourth Proportional to 154.85, 231.98 and 86.36

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Solution

The fourth proportional to 154.85, 231.98 and 86.36 is: 129.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.85 : 231.98 = 86.36 : x
  2. Step 2: Convert to fraction form
    154.85/231.98 = 86.36/x
  3. Step 3: Cross multiply
    154.85x = 231.98 × 86.36
  4. Step 4: Simplify right side
    154.85x = 20,032.20
  5. Step 5: Solve for x
    x = 20,032.20/154.85
  6. Step 6: Final answer
    x = 129.37

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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.