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Finding the Fourth Proportional to 356, 532.80 and 219.14

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Solution

The fourth proportional to 356, 532.80 and 219.14 is: 327.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    356 : 532.80 = 219.14 : x
  2. Step 2: Convert to fraction form
    356/532.80 = 219.14/x
  3. Step 3: Cross multiply
    356x = 532.80 × 219.14
  4. Step 4: Simplify right side
    356x = 116,757.79
  5. Step 5: Solve for x
    x = 116,757.79/356
  6. Step 6: Final answer
    x = 327.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.