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Finding the Fourth Proportional to 328.01, 451.31 and 268.78

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Solution

The fourth proportional to 328.01, 451.31 and 268.78 is: 369.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.01 : 451.31 = 268.78 : x
  2. Step 2: Convert to fraction form
    328.01/451.31 = 268.78/x
  3. Step 3: Cross multiply
    328.01x = 451.31 × 268.78
  4. Step 4: Simplify right side
    328.01x = 121,302.65
  5. Step 5: Solve for x
    x = 121,302.65/328.01
  6. Step 6: Final answer
    x = 369.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.