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Finding the Fourth Proportional to 298.07, 443.96 and 284.75

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Solution

The fourth proportional to 298.07, 443.96 and 284.75 is: 424.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.07 : 443.96 = 284.75 : x
  2. Step 2: Convert to fraction form
    298.07/443.96 = 284.75/x
  3. Step 3: Cross multiply
    298.07x = 443.96 × 284.75
  4. Step 4: Simplify right side
    298.07x = 126,416.10
  5. Step 5: Solve for x
    x = 126,416.10/298.07
  6. Step 6: Final answer
    x = 424.11

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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.