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Finding the Fourth Proportional to 191.31, 285.14 and 154.59

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Solution

The fourth proportional to 191.31, 285.14 and 154.59 is: 230.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.31 : 285.14 = 154.59 : x
  2. Step 2: Convert to fraction form
    191.31/285.14 = 154.59/x
  3. Step 3: Cross multiply
    191.31x = 285.14 × 154.59
  4. Step 4: Simplify right side
    191.31x = 44,079.02
  5. Step 5: Solve for x
    x = 44,079.02/191.31
  6. Step 6: Final answer
    x = 230.41

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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.