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Finding the Fourth Proportional to 298.06, 449.36 and 277.18

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Solution

The fourth proportional to 298.06, 449.36 and 277.18 is: 417.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.06 : 449.36 = 277.18 : x
  2. Step 2: Convert to fraction form
    298.06/449.36 = 277.18/x
  3. Step 3: Cross multiply
    298.06x = 449.36 × 277.18
  4. Step 4: Simplify right side
    298.06x = 124,553.60
  5. Step 5: Solve for x
    x = 124,553.60/298.06
  6. Step 6: Final answer
    x = 417.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.