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Finding the Fourth Proportional to 224.12, 336.06 and 77.79

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Solution

The fourth proportional to 224.12, 336.06 and 77.79 is: 116.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.12 : 336.06 = 77.79 : x
  2. Step 2: Convert to fraction form
    224.12/336.06 = 77.79/x
  3. Step 3: Cross multiply
    224.12x = 336.06 × 77.79
  4. Step 4: Simplify right side
    224.12x = 26,141.72
  5. Step 5: Solve for x
    x = 26,141.72/224.12
  6. Step 6: Final answer
    x = 116.64

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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.