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Finding the Fourth Proportional to 298.55, 447.87 and 106.13

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Solution

The fourth proportional to 298.55, 447.87 and 106.13 is: 159.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.55 : 447.87 = 106.13 : x
  2. Step 2: Convert to fraction form
    298.55/447.87 = 106.13/x
  3. Step 3: Cross multiply
    298.55x = 447.87 × 106.13
  4. Step 4: Simplify right side
    298.55x = 47,530.20
  5. Step 5: Solve for x
    x = 47,530.20/298.55
  6. Step 6: Final answer
    x = 159.21

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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.