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Finding the Fourth Proportional to 297.68, 443.48 and 286.74

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Solution

The fourth proportional to 297.68, 443.48 and 286.74 is: 427.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.68 : 443.48 = 286.74 : x
  2. Step 2: Convert to fraction form
    297.68/443.48 = 286.74/x
  3. Step 3: Cross multiply
    297.68x = 443.48 × 286.74
  4. Step 4: Simplify right side
    297.68x = 127,162.02
  5. Step 5: Solve for x
    x = 127,162.02/297.68
  6. Step 6: Final answer
    x = 427.18

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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.