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Finding the Fourth Proportional to 303.27, 451.97 and 297.19

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Solution

The fourth proportional to 303.27, 451.97 and 297.19 is: 442.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.27 : 451.97 = 297.19 : x
  2. Step 2: Convert to fraction form
    303.27/451.97 = 297.19/x
  3. Step 3: Cross multiply
    303.27x = 451.97 × 297.19
  4. Step 4: Simplify right side
    303.27x = 134,320.96
  5. Step 5: Solve for x
    x = 134,320.96/303.27
  6. Step 6: Final answer
    x = 442.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.