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Finding the Fourth Proportional to 191.49, 264.29 and 112.81

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Solution

The fourth proportional to 191.49, 264.29 and 112.81 is: 155.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.49 : 264.29 = 112.81 : x
  2. Step 2: Convert to fraction form
    191.49/264.29 = 112.81/x
  3. Step 3: Cross multiply
    191.49x = 264.29 × 112.81
  4. Step 4: Simplify right side
    191.49x = 29,814.55
  5. Step 5: Solve for x
    x = 29,814.55/191.49
  6. Step 6: Final answer
    x = 155.70

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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.