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Finding the Fourth Proportional to 298.13, 447.14 and 78.75

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Solution

The fourth proportional to 298.13, 447.14 and 78.75 is: 118.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.13 : 447.14 = 78.75 : x
  2. Step 2: Convert to fraction form
    298.13/447.14 = 78.75/x
  3. Step 3: Cross multiply
    298.13x = 447.14 × 78.75
  4. Step 4: Simplify right side
    298.13x = 35,214.03
  5. Step 5: Solve for x
    x = 35,214.03/298.13
  6. Step 6: Final answer
    x = 118.12

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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.