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Finding the Fourth Proportional to 298.05, 444.56 and 280.90

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Solution

The fourth proportional to 298.05, 444.56 and 280.90 is: 418.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.05 : 444.56 = 280.90 : x
  2. Step 2: Convert to fraction form
    298.05/444.56 = 280.90/x
  3. Step 3: Cross multiply
    298.05x = 444.56 × 280.90
  4. Step 4: Simplify right side
    298.05x = 124,875.50
  5. Step 5: Solve for x
    x = 124,875.50/298.05
  6. Step 6: Final answer
    x = 418.98

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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.