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Finding the Fourth Proportional to 154.41, 232.82 and 141.65

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Solution

The fourth proportional to 154.41, 232.82 and 141.65 is: 213.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.41 : 232.82 = 141.65 : x
  2. Step 2: Convert to fraction form
    154.41/232.82 = 141.65/x
  3. Step 3: Cross multiply
    154.41x = 232.82 × 141.65
  4. Step 4: Simplify right side
    154.41x = 32,978.95
  5. Step 5: Solve for x
    x = 32,978.95/154.41
  6. Step 6: Final answer
    x = 213.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.