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Finding the Fourth Proportional to 305.27, 421.17 and 187.18

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Solution

The fourth proportional to 305.27, 421.17 and 187.18 is: 258.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.27 : 421.17 = 187.18 : x
  2. Step 2: Convert to fraction form
    305.27/421.17 = 187.18/x
  3. Step 3: Cross multiply
    305.27x = 421.17 × 187.18
  4. Step 4: Simplify right side
    305.27x = 78,833.55
  5. Step 5: Solve for x
    x = 78,833.55/305.27
  6. Step 6: Final answer
    x = 258.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.