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Finding the Fourth Proportional to 297.60, 443.82 and 291.84

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Solution

The fourth proportional to 297.60, 443.82 and 291.84 is: 435.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.60 : 443.82 = 291.84 : x
  2. Step 2: Convert to fraction form
    297.60/443.82 = 291.84/x
  3. Step 3: Cross multiply
    297.60x = 443.82 × 291.84
  4. Step 4: Simplify right side
    297.60x = 129,524.43
  5. Step 5: Solve for x
    x = 129,524.43/297.60
  6. Step 6: Final answer
    x = 435.23

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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.