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Finding the Fourth Proportional to 328.91, 451.49 and 291.24

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Solution

The fourth proportional to 328.91, 451.49 and 291.24 is: 399.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.91 : 451.49 = 291.24 : x
  2. Step 2: Convert to fraction form
    328.91/451.49 = 291.24/x
  3. Step 3: Cross multiply
    328.91x = 451.49 × 291.24
  4. Step 4: Simplify right side
    328.91x = 131,490.49
  5. Step 5: Solve for x
    x = 131,490.49/328.91
  6. Step 6: Final answer
    x = 399.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.