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Finding the Fourth Proportional to 191.83, 288.91 and 169.24

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Solution

The fourth proportional to 191.83, 288.91 and 169.24 is: 254.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.83 : 288.91 = 169.24 : x
  2. Step 2: Convert to fraction form
    191.83/288.91 = 169.24/x
  3. Step 3: Cross multiply
    191.83x = 288.91 × 169.24
  4. Step 4: Simplify right side
    191.83x = 48,895.13
  5. Step 5: Solve for x
    x = 48,895.13/191.83
  6. Step 6: Final answer
    x = 254.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.