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Finding the Fourth Proportional to 313.72, 467.32 and 297.92

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Solution

The fourth proportional to 313.72, 467.32 and 297.92 is: 443.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.72 : 467.32 = 297.92 : x
  2. Step 2: Convert to fraction form
    313.72/467.32 = 297.92/x
  3. Step 3: Cross multiply
    313.72x = 467.32 × 297.92
  4. Step 4: Simplify right side
    313.72x = 139,223.97
  5. Step 5: Solve for x
    x = 139,223.97/313.72
  6. Step 6: Final answer
    x = 443.78

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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.