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Finding the Fourth Proportional to 297.84, 448.50 and 262.20

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Solution

The fourth proportional to 297.84, 448.50 and 262.20 is: 394.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.84 : 448.50 = 262.20 : x
  2. Step 2: Convert to fraction form
    297.84/448.50 = 262.20/x
  3. Step 3: Cross multiply
    297.84x = 448.50 × 262.20
  4. Step 4: Simplify right side
    297.84x = 117,596.70
  5. Step 5: Solve for x
    x = 117,596.70/297.84
  6. Step 6: Final answer
    x = 394.83

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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.