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Finding the Fourth Proportional to 298.16, 444.74 and 285.20

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Solution

The fourth proportional to 298.16, 444.74 and 285.20 is: 425.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.16 : 444.74 = 285.20 : x
  2. Step 2: Convert to fraction form
    298.16/444.74 = 285.20/x
  3. Step 3: Cross multiply
    298.16x = 444.74 × 285.20
  4. Step 4: Simplify right side
    298.16x = 126,839.85
  5. Step 5: Solve for x
    x = 126,839.85/298.16
  6. Step 6: Final answer
    x = 425.41

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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.