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Finding the Fourth Proportional to 191.96, 288.02 and 78.04

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Solution

The fourth proportional to 191.96, 288.02 and 78.04 is: 117.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.96 : 288.02 = 78.04 : x
  2. Step 2: Convert to fraction form
    191.96/288.02 = 78.04/x
  3. Step 3: Cross multiply
    191.96x = 288.02 × 78.04
  4. Step 4: Simplify right side
    191.96x = 22,477.08
  5. Step 5: Solve for x
    x = 22,477.08/191.96
  6. Step 6: Final answer
    x = 117.09

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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.