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Finding the Fourth Proportional to 191.84, 264.64 and 129.59

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Solution

The fourth proportional to 191.84, 264.64 and 129.59 is: 178.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.84 : 264.64 = 129.59 : x
  2. Step 2: Convert to fraction form
    191.84/264.64 = 129.59/x
  3. Step 3: Cross multiply
    191.84x = 264.64 × 129.59
  4. Step 4: Simplify right side
    191.84x = 34,294.70
  5. Step 5: Solve for x
    x = 34,294.70/191.84
  6. Step 6: Final answer
    x = 178.77

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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.