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Finding the Fourth Proportional to 191.64, 284.99 and 185.56

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Solution

The fourth proportional to 191.64, 284.99 and 185.56 is: 275.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.64 : 284.99 = 185.56 : x
  2. Step 2: Convert to fraction form
    191.64/284.99 = 185.56/x
  3. Step 3: Cross multiply
    191.64x = 284.99 × 185.56
  4. Step 4: Simplify right side
    191.64x = 52,882.74
  5. Step 5: Solve for x
    x = 52,882.74/191.64
  6. Step 6: Final answer
    x = 275.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.