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Finding the Fourth Proportional to 462.72, 693.84 and 219.02

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Solution

The fourth proportional to 462.72, 693.84 and 219.02 is: 328.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.72 : 693.84 = 219.02 : x
  2. Step 2: Convert to fraction form
    462.72/693.84 = 219.02/x
  3. Step 3: Cross multiply
    462.72x = 693.84 × 219.02
  4. Step 4: Simplify right side
    462.72x = 151,964.84
  5. Step 5: Solve for x
    x = 151,964.84/462.72
  6. Step 6: Final answer
    x = 328.42

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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.