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Finding the Fourth Proportional to 462.50, 693.42 and 231.32

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Solution

The fourth proportional to 462.50, 693.42 and 231.32 is: 346.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.50 : 693.42 = 231.32 : x
  2. Step 2: Convert to fraction form
    462.50/693.42 = 231.32/x
  3. Step 3: Cross multiply
    462.50x = 693.42 × 231.32
  4. Step 4: Simplify right side
    462.50x = 160,401.91
  5. Step 5: Solve for x
    x = 160,401.91/462.50
  6. Step 6: Final answer
    x = 346.81

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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.