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Finding the Fourth Proportional to 155.73, 232.46 and 142.89

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Solution

The fourth proportional to 155.73, 232.46 and 142.89 is: 213.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.73 : 232.46 = 142.89 : x
  2. Step 2: Convert to fraction form
    155.73/232.46 = 142.89/x
  3. Step 3: Cross multiply
    155.73x = 232.46 × 142.89
  4. Step 4: Simplify right side
    155.73x = 33,216.57
  5. Step 5: Solve for x
    x = 33,216.57/155.73
  6. Step 6: Final answer
    x = 213.30

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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.