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Finding the Fourth Proportional to 121.42, 182.13 and 34.77

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Solution

The fourth proportional to 121.42, 182.13 and 34.77 is: 52.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.42 : 182.13 = 34.77 : x
  2. Step 2: Convert to fraction form
    121.42/182.13 = 34.77/x
  3. Step 3: Cross multiply
    121.42x = 182.13 × 34.77
  4. Step 4: Simplify right side
    121.42x = 6,331.94
  5. Step 5: Solve for x
    x = 6,331.94/121.42
  6. Step 6: Final answer
    x = 52.15

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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.