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Finding the Fourth Proportional to 229.16, 341.56 and 215.84

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Solution

The fourth proportional to 229.16, 341.56 and 215.84 is: 321.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.16 : 341.56 = 215.84 : x
  2. Step 2: Convert to fraction form
    229.16/341.56 = 215.84/x
  3. Step 3: Cross multiply
    229.16x = 341.56 × 215.84
  4. Step 4: Simplify right side
    229.16x = 73,722.31
  5. Step 5: Solve for x
    x = 73,722.31/229.16
  6. Step 6: Final answer
    x = 321.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.