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Finding the Fourth Proportional to 154.34, 213.02 and 92.17

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Solution

The fourth proportional to 154.34, 213.02 and 92.17 is: 127.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.34 : 213.02 = 92.17 : x
  2. Step 2: Convert to fraction form
    154.34/213.02 = 92.17/x
  3. Step 3: Cross multiply
    154.34x = 213.02 × 92.17
  4. Step 4: Simplify right side
    154.34x = 19,632.99
  5. Step 5: Solve for x
    x = 19,632.99/154.34
  6. Step 6: Final answer
    x = 127.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.