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Finding the Fourth Proportional to 462.78, 693.57 and 219.38

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Solution

The fourth proportional to 462.78, 693.57 and 219.38 is: 328.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.78 : 693.57 = 219.38 : x
  2. Step 2: Convert to fraction form
    462.78/693.57 = 219.38/x
  3. Step 3: Cross multiply
    462.78x = 693.57 × 219.38
  4. Step 4: Simplify right side
    462.78x = 152,152.56
  5. Step 5: Solve for x
    x = 152,152.56/462.78
  6. Step 6: Final answer
    x = 328.78

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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.