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Finding the Fourth Proportional to 191.93, 289.31 and 180.78

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Solution

The fourth proportional to 191.93, 289.31 and 180.78 is: 272.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.93 : 289.31 = 180.78 : x
  2. Step 2: Convert to fraction form
    191.93/289.31 = 180.78/x
  3. Step 3: Cross multiply
    191.93x = 289.31 × 180.78
  4. Step 4: Simplify right side
    191.93x = 52,301.46
  5. Step 5: Solve for x
    x = 52,301.46/191.93
  6. Step 6: Final answer
    x = 272.50

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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.