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Finding the Fourth Proportional to 191.47, 264.25 and 113.83

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Solution

The fourth proportional to 191.47, 264.25 and 113.83 is: 157.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.47 : 264.25 = 113.83 : x
  2. Step 2: Convert to fraction form
    191.47/264.25 = 113.83/x
  3. Step 3: Cross multiply
    191.47x = 264.25 × 113.83
  4. Step 4: Simplify right side
    191.47x = 30,079.01
  5. Step 5: Solve for x
    x = 30,079.01/191.47
  6. Step 6: Final answer
    x = 157.10

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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.