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Finding the Fourth Proportional to 462.57, 693.39 and 243.44

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Solution

The fourth proportional to 462.57, 693.39 and 243.44 is: 364.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.57 : 693.39 = 243.44 : x
  2. Step 2: Convert to fraction form
    462.57/693.39 = 243.44/x
  3. Step 3: Cross multiply
    462.57x = 693.39 × 243.44
  4. Step 4: Simplify right side
    462.57x = 168,801.44
  5. Step 5: Solve for x
    x = 168,801.44/462.57
  6. Step 6: Final answer
    x = 364.92

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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.