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Finding the Fourth Proportional to 297.65, 446.12 and 263.48

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Solution

The fourth proportional to 297.65, 446.12 and 263.48 is: 394.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.65 : 446.12 = 263.48 : x
  2. Step 2: Convert to fraction form
    297.65/446.12 = 263.48/x
  3. Step 3: Cross multiply
    297.65x = 446.12 × 263.48
  4. Step 4: Simplify right side
    297.65x = 117,543.70
  5. Step 5: Solve for x
    x = 117,543.70/297.65
  6. Step 6: Final answer
    x = 394.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.