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Finding the Fourth Proportional to 191.99, 285.47 and 190.17

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Solution

The fourth proportional to 191.99, 285.47 and 190.17 is: 282.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.99 : 285.47 = 190.17 : x
  2. Step 2: Convert to fraction form
    191.99/285.47 = 190.17/x
  3. Step 3: Cross multiply
    191.99x = 285.47 × 190.17
  4. Step 4: Simplify right side
    191.99x = 54,286.88
  5. Step 5: Solve for x
    x = 54,286.88/191.99
  6. Step 6: Final answer
    x = 282.77

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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.