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Finding the Fourth Proportional to 298.18, 447.34 and 124.76

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Solution

The fourth proportional to 298.18, 447.34 and 124.76 is: 187.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.18 : 447.34 = 124.76 : x
  2. Step 2: Convert to fraction form
    298.18/447.34 = 124.76/x
  3. Step 3: Cross multiply
    298.18x = 447.34 × 124.76
  4. Step 4: Simplify right side
    298.18x = 55,811.18
  5. Step 5: Solve for x
    x = 55,811.18/298.18
  6. Step 6: Final answer
    x = 187.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.