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Finding the Fourth Proportional to 298.14, 444.78 and 284.38

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Solution

The fourth proportional to 298.14, 444.78 and 284.38 is: 424.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.14 : 444.78 = 284.38 : x
  2. Step 2: Convert to fraction form
    298.14/444.78 = 284.38/x
  3. Step 3: Cross multiply
    298.14x = 444.78 × 284.38
  4. Step 4: Simplify right side
    298.14x = 126,486.54
  5. Step 5: Solve for x
    x = 126,486.54/298.14
  6. Step 6: Final answer
    x = 424.25

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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.