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Finding the Fourth Proportional to 229.12, 314.31 and 215.14

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Solution

The fourth proportional to 229.12, 314.31 and 215.14 is: 295.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.12 : 314.31 = 215.14 : x
  2. Step 2: Convert to fraction form
    229.12/314.31 = 215.14/x
  3. Step 3: Cross multiply
    229.12x = 314.31 × 215.14
  4. Step 4: Simplify right side
    229.12x = 67,620.65
  5. Step 5: Solve for x
    x = 67,620.65/229.12
  6. Step 6: Final answer
    x = 295.13

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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.