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Finding the Fourth Proportional to 297.96, 448.54 and 268.18

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Solution

The fourth proportional to 297.96, 448.54 and 268.18 is: 403.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.96 : 448.54 = 268.18 : x
  2. Step 2: Convert to fraction form
    297.96/448.54 = 268.18/x
  3. Step 3: Cross multiply
    297.96x = 448.54 × 268.18
  4. Step 4: Simplify right side
    297.96x = 120,289.46
  5. Step 5: Solve for x
    x = 120,289.46/297.96
  6. Step 6: Final answer
    x = 403.71

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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.