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Finding the Fourth Proportional to 191.06, 285.47 and 141.44

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Solution

The fourth proportional to 191.06, 285.47 and 141.44 is: 211.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.06 : 285.47 = 141.44 : x
  2. Step 2: Convert to fraction form
    191.06/285.47 = 141.44/x
  3. Step 3: Cross multiply
    191.06x = 285.47 × 141.44
  4. Step 4: Simplify right side
    191.06x = 40,376.87
  5. Step 5: Solve for x
    x = 40,376.87/191.06
  6. Step 6: Final answer
    x = 211.33

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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.