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Finding the Fourth Proportional to 191.04, 286.88 and 158.92

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Solution

The fourth proportional to 191.04, 286.88 and 158.92 is: 238.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.04 : 286.88 = 158.92 : x
  2. Step 2: Convert to fraction form
    191.04/286.88 = 158.92/x
  3. Step 3: Cross multiply
    191.04x = 286.88 × 158.92
  4. Step 4: Simplify right side
    191.04x = 45,590.97
  5. Step 5: Solve for x
    x = 45,590.97/191.04
  6. Step 6: Final answer
    x = 238.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.