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Finding the Fourth Proportional to 297.60, 443.88 and 282.16

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Solution

The fourth proportional to 297.60, 443.88 and 282.16 is: 420.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.60 : 443.88 = 282.16 : x
  2. Step 2: Convert to fraction form
    297.60/443.88 = 282.16/x
  3. Step 3: Cross multiply
    297.60x = 443.88 × 282.16
  4. Step 4: Simplify right side
    297.60x = 125,245.18
  5. Step 5: Solve for x
    x = 125,245.18/297.60
  6. Step 6: Final answer
    x = 420.85

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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.