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Finding the Fourth Proportional to 298.46, 447.68 and 103.38

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Solution

The fourth proportional to 298.46, 447.68 and 103.38 is: 155.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.46 : 447.68 = 103.38 : x
  2. Step 2: Convert to fraction form
    298.46/447.68 = 103.38/x
  3. Step 3: Cross multiply
    298.46x = 447.68 × 103.38
  4. Step 4: Simplify right side
    298.46x = 46,280.64
  5. Step 5: Solve for x
    x = 46,280.64/298.46
  6. Step 6: Final answer
    x = 155.06

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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.