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Finding the Fourth Proportional to 191.22, 263.48 and 142.04

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Solution

The fourth proportional to 191.22, 263.48 and 142.04 is: 195.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.22 : 263.48 = 142.04 : x
  2. Step 2: Convert to fraction form
    191.22/263.48 = 142.04/x
  3. Step 3: Cross multiply
    191.22x = 263.48 × 142.04
  4. Step 4: Simplify right side
    191.22x = 37,424.70
  5. Step 5: Solve for x
    x = 37,424.70/191.22
  6. Step 6: Final answer
    x = 195.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.