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Finding the Fourth Proportional to 191.72, 289.19 and 180.50

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Solution

The fourth proportional to 191.72, 289.19 and 180.50 is: 272.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.72 : 289.19 = 180.50 : x
  2. Step 2: Convert to fraction form
    191.72/289.19 = 180.50/x
  3. Step 3: Cross multiply
    191.72x = 289.19 × 180.50
  4. Step 4: Simplify right side
    191.72x = 52,197.80
  5. Step 5: Solve for x
    x = 52,197.80/191.72
  6. Step 6: Final answer
    x = 272.26

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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.