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Finding the Fourth Proportional to 191.16, 284.72 and 189.14

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Solution

The fourth proportional to 191.16, 284.72 and 189.14 is: 281.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.16 : 284.72 = 189.14 : x
  2. Step 2: Convert to fraction form
    191.16/284.72 = 189.14/x
  3. Step 3: Cross multiply
    191.16x = 284.72 × 189.14
  4. Step 4: Simplify right side
    191.16x = 53,849.57
  5. Step 5: Solve for x
    x = 53,849.57/191.16
  6. Step 6: Final answer
    x = 281.70

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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.