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Finding the Fourth Proportional to 297.66, 449.15 and 286.41

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Solution

The fourth proportional to 297.66, 449.15 and 286.41 is: 432.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.66 : 449.15 = 286.41 : x
  2. Step 2: Convert to fraction form
    297.66/449.15 = 286.41/x
  3. Step 3: Cross multiply
    297.66x = 449.15 × 286.41
  4. Step 4: Simplify right side
    297.66x = 128,641.77
  5. Step 5: Solve for x
    x = 128,641.77/297.66
  6. Step 6: Final answer
    x = 432.18

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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.