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Finding the Fourth Proportional to 224.46, 336.72 and 78.24

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Solution

The fourth proportional to 224.46, 336.72 and 78.24 is: 117.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.46 : 336.72 = 78.24 : x
  2. Step 2: Convert to fraction form
    224.46/336.72 = 78.24/x
  3. Step 3: Cross multiply
    224.46x = 336.72 × 78.24
  4. Step 4: Simplify right side
    224.46x = 26,344.97
  5. Step 5: Solve for x
    x = 26,344.97/224.46
  6. Step 6: Final answer
    x = 117.37

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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.