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Finding the Fourth Proportional to 154.48, 212.76 and 122.92

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Solution

The fourth proportional to 154.48, 212.76 and 122.92 is: 169.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.48 : 212.76 = 122.92 : x
  2. Step 2: Convert to fraction form
    154.48/212.76 = 122.92/x
  3. Step 3: Cross multiply
    154.48x = 212.76 × 122.92
  4. Step 4: Simplify right side
    154.48x = 26,152.46
  5. Step 5: Solve for x
    x = 26,152.46/154.48
  6. Step 6: Final answer
    x = 169.29

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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.