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Finding the Fourth Proportional to 297.84, 449.22 and 266.52

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Solution

The fourth proportional to 297.84, 449.22 and 266.52 is: 401.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.84 : 449.22 = 266.52 : x
  2. Step 2: Convert to fraction form
    297.84/449.22 = 266.52/x
  3. Step 3: Cross multiply
    297.84x = 449.22 × 266.52
  4. Step 4: Simplify right side
    297.84x = 119,726.11
  5. Step 5: Solve for x
    x = 119,726.11/297.84
  6. Step 6: Final answer
    x = 401.98

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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.