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Finding the Fourth Proportional to 298.68, 447.71 and 116.07

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Solution

The fourth proportional to 298.68, 447.71 and 116.07 is: 173.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.68 : 447.71 = 116.07 : x
  2. Step 2: Convert to fraction form
    298.68/447.71 = 116.07/x
  3. Step 3: Cross multiply
    298.68x = 447.71 × 116.07
  4. Step 4: Simplify right side
    298.68x = 51,965.12
  5. Step 5: Solve for x
    x = 51,965.12/298.68
  6. Step 6: Final answer
    x = 173.98

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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.