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Finding the Fourth Proportional to 155.37, 232.82 and 86.91

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Solution

The fourth proportional to 155.37, 232.82 and 86.91 is: 130.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.37 : 232.82 = 86.91 : x
  2. Step 2: Convert to fraction form
    155.37/232.82 = 86.91/x
  3. Step 3: Cross multiply
    155.37x = 232.82 × 86.91
  4. Step 4: Simplify right side
    155.37x = 20,234.88
  5. Step 5: Solve for x
    x = 20,234.88/155.37
  6. Step 6: Final answer
    x = 130.24

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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.