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Finding the Fourth Proportional to 328.71, 451.59 and 294.19

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Solution

The fourth proportional to 328.71, 451.59 and 294.19 is: 404.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.71 : 451.59 = 294.19 : x
  2. Step 2: Convert to fraction form
    328.71/451.59 = 294.19/x
  3. Step 3: Cross multiply
    328.71x = 451.59 × 294.19
  4. Step 4: Simplify right side
    328.71x = 132,853.26
  5. Step 5: Solve for x
    x = 132,853.26/328.71
  6. Step 6: Final answer
    x = 404.17

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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.