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Finding the Fourth Proportional to 462.24, 693.46 and 154.12

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Solution

The fourth proportional to 462.24, 693.46 and 154.12 is: 231.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.24 : 693.46 = 154.12 : x
  2. Step 2: Convert to fraction form
    462.24/693.46 = 154.12/x
  3. Step 3: Cross multiply
    462.24x = 693.46 × 154.12
  4. Step 4: Simplify right side
    462.24x = 106,876.06
  5. Step 5: Solve for x
    x = 106,876.06/462.24
  6. Step 6: Final answer
    x = 231.21

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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.