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Finding the Fourth Proportional to 121.16, 181.80 and 102.92

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Solution

The fourth proportional to 121.16, 181.80 and 102.92 is: 154.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.16 : 181.80 = 102.92 : x
  2. Step 2: Convert to fraction form
    121.16/181.80 = 102.92/x
  3. Step 3: Cross multiply
    121.16x = 181.80 × 102.92
  4. Step 4: Simplify right side
    121.16x = 18,710.86
  5. Step 5: Solve for x
    x = 18,710.86/121.16
  6. Step 6: Final answer
    x = 154.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.