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Finding the Fourth Proportional to 154.67, 233.17 and 133.18

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Solution

The fourth proportional to 154.67, 233.17 and 133.18 is: 200.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.67 : 233.17 = 133.18 : x
  2. Step 2: Convert to fraction form
    154.67/233.17 = 133.18/x
  3. Step 3: Cross multiply
    154.67x = 233.17 × 133.18
  4. Step 4: Simplify right side
    154.67x = 31,052.41
  5. Step 5: Solve for x
    x = 31,052.41/154.67
  6. Step 6: Final answer
    x = 200.77

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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.