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Finding the Fourth Proportional to 298.72, 447.76 and 116.06

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Solution

The fourth proportional to 298.72, 447.76 and 116.06 is: 173.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.72 : 447.76 = 116.06 : x
  2. Step 2: Convert to fraction form
    298.72/447.76 = 116.06/x
  3. Step 3: Cross multiply
    298.72x = 447.76 × 116.06
  4. Step 4: Simplify right side
    298.72x = 51,967.03
  5. Step 5: Solve for x
    x = 51,967.03/298.72
  6. Step 6: Final answer
    x = 173.97

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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.