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Finding the Fourth Proportional to 298.74, 414.38 and 288.90

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Solution

The fourth proportional to 298.74, 414.38 and 288.90 is: 400.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.74 : 414.38 = 288.90 : x
  2. Step 2: Convert to fraction form
    298.74/414.38 = 288.90/x
  3. Step 3: Cross multiply
    298.74x = 414.38 × 288.90
  4. Step 4: Simplify right side
    298.74x = 119,714.38
  5. Step 5: Solve for x
    x = 119,714.38/298.74
  6. Step 6: Final answer
    x = 400.73

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.