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Finding the Fourth Proportional to 191.73, 285.75 and 191.43

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Solution

The fourth proportional to 191.73, 285.75 and 191.43 is: 285.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.73 : 285.75 = 191.43 : x
  2. Step 2: Convert to fraction form
    191.73/285.75 = 191.43/x
  3. Step 3: Cross multiply
    191.73x = 285.75 × 191.43
  4. Step 4: Simplify right side
    191.73x = 54,699.69
  5. Step 5: Solve for x
    x = 54,699.69/191.73
  6. Step 6: Final answer
    x = 285.30

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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.