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Finding the Fourth Proportional to 298.72, 446.42 and 240.30

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Solution

The fourth proportional to 298.72, 446.42 and 240.30 is: 359.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.72 : 446.42 = 240.30 : x
  2. Step 2: Convert to fraction form
    298.72/446.42 = 240.30/x
  3. Step 3: Cross multiply
    298.72x = 446.42 × 240.30
  4. Step 4: Simplify right side
    298.72x = 107,274.73
  5. Step 5: Solve for x
    x = 107,274.73/298.72
  6. Step 6: Final answer
    x = 359.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.