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Finding the Fourth Proportional to 297.98, 449.19 and 278.16

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Solution

The fourth proportional to 297.98, 449.19 and 278.16 is: 419.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.98 : 449.19 = 278.16 : x
  2. Step 2: Convert to fraction form
    297.98/449.19 = 278.16/x
  3. Step 3: Cross multiply
    297.98x = 449.19 × 278.16
  4. Step 4: Simplify right side
    297.98x = 124,946.69
  5. Step 5: Solve for x
    x = 124,946.69/297.98
  6. Step 6: Final answer
    x = 419.31

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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.