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Finding the Fourth Proportional to 229.79, 318.75 and 217.49

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Solution

The fourth proportional to 229.79, 318.75 and 217.49 is: 301.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.79 : 318.75 = 217.49 : x
  2. Step 2: Convert to fraction form
    229.79/318.75 = 217.49/x
  3. Step 3: Cross multiply
    229.79x = 318.75 × 217.49
  4. Step 4: Simplify right side
    229.79x = 69,322.83
  5. Step 5: Solve for x
    x = 69,322.83/229.79
  6. Step 6: Final answer
    x = 301.68

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.