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Finding the Fourth Proportional to 297.32, 448.67 and 288.20

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Solution

The fourth proportional to 297.32, 448.67 and 288.20 is: 434.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.32 : 448.67 = 288.20 : x
  2. Step 2: Convert to fraction form
    297.32/448.67 = 288.20/x
  3. Step 3: Cross multiply
    297.32x = 448.67 × 288.20
  4. Step 4: Simplify right side
    297.32x = 129,306.69
  5. Step 5: Solve for x
    x = 129,306.69/297.32
  6. Step 6: Final answer
    x = 434.91

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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.