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Finding the Fourth Proportional to 227.68, 312.48 and 224.16

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Solution

The fourth proportional to 227.68, 312.48 and 224.16 is: 307.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.68 : 312.48 = 224.16 : x
  2. Step 2: Convert to fraction form
    227.68/312.48 = 224.16/x
  3. Step 3: Cross multiply
    227.68x = 312.48 × 224.16
  4. Step 4: Simplify right side
    227.68x = 70,045.52
  5. Step 5: Solve for x
    x = 70,045.52/227.68
  6. Step 6: Final answer
    x = 307.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.