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Finding the Fourth Proportional to 191.80, 264.76 and 121.88

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Solution

The fourth proportional to 191.80, 264.76 and 121.88 is: 168.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.80 : 264.76 = 121.88 : x
  2. Step 2: Convert to fraction form
    191.80/264.76 = 121.88/x
  3. Step 3: Cross multiply
    191.80x = 264.76 × 121.88
  4. Step 4: Simplify right side
    191.80x = 32,268.95
  5. Step 5: Solve for x
    x = 32,268.95/191.80
  6. Step 6: Final answer
    x = 168.24

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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.