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Finding the Fourth Proportional to 191.13, 284.79 and 170.69

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Solution

The fourth proportional to 191.13, 284.79 and 170.69 is: 254.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.13 : 284.79 = 170.69 : x
  2. Step 2: Convert to fraction form
    191.13/284.79 = 170.69/x
  3. Step 3: Cross multiply
    191.13x = 284.79 × 170.69
  4. Step 4: Simplify right side
    191.13x = 48,610.81
  5. Step 5: Solve for x
    x = 48,610.81/191.13
  6. Step 6: Final answer
    x = 254.33

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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.