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Finding the Fourth Proportional to 298.04, 446.46 and 243.78

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Solution

The fourth proportional to 298.04, 446.46 and 243.78 is: 365.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.04 : 446.46 = 243.78 : x
  2. Step 2: Convert to fraction form
    298.04/446.46 = 243.78/x
  3. Step 3: Cross multiply
    298.04x = 446.46 × 243.78
  4. Step 4: Simplify right side
    298.04x = 108,838.02
  5. Step 5: Solve for x
    x = 108,838.02/298.04
  6. Step 6: Final answer
    x = 365.18

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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.