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Finding the Fourth Proportional to 298.77, 449.82 and 218.16

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Solution

The fourth proportional to 298.77, 449.82 and 218.16 is: 328.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.77 : 449.82 = 218.16 : x
  2. Step 2: Convert to fraction form
    298.77/449.82 = 218.16/x
  3. Step 3: Cross multiply
    298.77x = 449.82 × 218.16
  4. Step 4: Simplify right side
    298.77x = 98,132.73
  5. Step 5: Solve for x
    x = 98,132.73/298.77
  6. Step 6: Final answer
    x = 328.46

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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.