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Finding the Fourth Proportional to 191.12, 284.58 and 180.56

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Solution

The fourth proportional to 191.12, 284.58 and 180.56 is: 268.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.12 : 284.58 = 180.56 : x
  2. Step 2: Convert to fraction form
    191.12/284.58 = 180.56/x
  3. Step 3: Cross multiply
    191.12x = 284.58 × 180.56
  4. Step 4: Simplify right side
    191.12x = 51,383.76
  5. Step 5: Solve for x
    x = 51,383.76/191.12
  6. Step 6: Final answer
    x = 268.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.