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Finding the Fourth Proportional to 462.30, 693.49 and 137.69

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Solution

The fourth proportional to 462.30, 693.49 and 137.69 is: 206.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.30 : 693.49 = 137.69 : x
  2. Step 2: Convert to fraction form
    462.30/693.49 = 137.69/x
  3. Step 3: Cross multiply
    462.30x = 693.49 × 137.69
  4. Step 4: Simplify right side
    462.30x = 95,483.17
  5. Step 5: Solve for x
    x = 95,483.17/462.30
  6. Step 6: Final answer
    x = 206.54

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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.