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Finding the Fourth Proportional to 191.79, 285.84 and 191.49

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Solution

The fourth proportional to 191.79, 285.84 and 191.49 is: 285.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.79 : 285.84 = 191.49 : x
  2. Step 2: Convert to fraction form
    191.79/285.84 = 191.49/x
  3. Step 3: Cross multiply
    191.79x = 285.84 × 191.49
  4. Step 4: Simplify right side
    191.79x = 54,734.43
  5. Step 5: Solve for x
    x = 54,734.43/191.79
  6. Step 6: Final answer
    x = 285.39

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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.