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Finding the Fourth Proportional to 297.21, 442.57 and 286.28

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Solution

The fourth proportional to 297.21, 442.57 and 286.28 is: 426.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.21 : 442.57 = 286.28 : x
  2. Step 2: Convert to fraction form
    297.21/442.57 = 286.28/x
  3. Step 3: Cross multiply
    297.21x = 442.57 × 286.28
  4. Step 4: Simplify right side
    297.21x = 126,696.01
  5. Step 5: Solve for x
    x = 126,696.01/297.21
  6. Step 6: Final answer
    x = 426.28

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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.