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Finding the Fourth Proportional to 191.23, 285.55 and 166.39

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Solution

The fourth proportional to 191.23, 285.55 and 166.39 is: 248.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.23 : 285.55 = 166.39 : x
  2. Step 2: Convert to fraction form
    191.23/285.55 = 166.39/x
  3. Step 3: Cross multiply
    191.23x = 285.55 × 166.39
  4. Step 4: Simplify right side
    191.23x = 47,512.66
  5. Step 5: Solve for x
    x = 47,512.66/191.23
  6. Step 6: Final answer
    x = 248.46

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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.