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Finding the Fourth Proportional to 155.91, 232.61 and 144.29

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Solution

The fourth proportional to 155.91, 232.61 and 144.29 is: 215.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.91 : 232.61 = 144.29 : x
  2. Step 2: Convert to fraction form
    155.91/232.61 = 144.29/x
  3. Step 3: Cross multiply
    155.91x = 232.61 × 144.29
  4. Step 4: Simplify right side
    155.91x = 33,563.30
  5. Step 5: Solve for x
    x = 33,563.30/155.91
  6. Step 6: Final answer
    x = 215.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.