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Finding the Fourth Proportional to 680, 1,020.16 and 224

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Solution

The fourth proportional to 680, 1,020.16 and 224 is: 336.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    680 : 1,020.16 = 224 : x
  2. Step 2: Convert to fraction form
    680/1,020.16 = 224/x
  3. Step 3: Cross multiply
    680x = 1,020.16 × 224
  4. Step 4: Simplify right side
    680x = 228,515.84
  5. Step 5: Solve for x
    x = 228,515.84/680
  6. Step 6: Final answer
    x = 336.05

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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.