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Finding the Fourth Proportional to 155.40, 232.92 and 91.08

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Solution

The fourth proportional to 155.40, 232.92 and 91.08 is: 136.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.40 : 232.92 = 91.08 : x
  2. Step 2: Convert to fraction form
    155.40/232.92 = 91.08/x
  3. Step 3: Cross multiply
    155.40x = 232.92 × 91.08
  4. Step 4: Simplify right side
    155.40x = 21,214.35
  5. Step 5: Solve for x
    x = 21,214.35/155.40
  6. Step 6: Final answer
    x = 136.51

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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.