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Finding the Fourth Proportional to 191.15, 285.42 and 154.70

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Solution

The fourth proportional to 191.15, 285.42 and 154.70 is: 230.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.15 : 285.42 = 154.70 : x
  2. Step 2: Convert to fraction form
    191.15/285.42 = 154.70/x
  3. Step 3: Cross multiply
    191.15x = 285.42 × 154.70
  4. Step 4: Simplify right side
    191.15x = 44,154.47
  5. Step 5: Solve for x
    x = 44,154.47/191.15
  6. Step 6: Final answer
    x = 230.99

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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.