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Finding the Fourth Proportional to 191.89, 288.04 and 138.03

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Solution

The fourth proportional to 191.89, 288.04 and 138.03 is: 207.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.89 : 288.04 = 138.03 : x
  2. Step 2: Convert to fraction form
    191.89/288.04 = 138.03/x
  3. Step 3: Cross multiply
    191.89x = 288.04 × 138.03
  4. Step 4: Simplify right side
    191.89x = 39,758.16
  5. Step 5: Solve for x
    x = 39,758.16/191.89
  6. Step 6: Final answer
    x = 207.19

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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.