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Finding the Fourth Proportional to 154.67, 233.19 and 141.91

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Solution

The fourth proportional to 154.67, 233.19 and 141.91 is: 213.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.67 : 233.19 = 141.91 : x
  2. Step 2: Convert to fraction form
    154.67/233.19 = 141.91/x
  3. Step 3: Cross multiply
    154.67x = 233.19 × 141.91
  4. Step 4: Simplify right side
    154.67x = 33,091.41
  5. Step 5: Solve for x
    x = 33,091.41/154.67
  6. Step 6: Final answer
    x = 213.96

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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.