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Finding the Fourth Proportional to 229.38, 341.91 and 213.99

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Solution

The fourth proportional to 229.38, 341.91 and 213.99 is: 318.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.38 : 341.91 = 213.99 : x
  2. Step 2: Convert to fraction form
    229.38/341.91 = 213.99/x
  3. Step 3: Cross multiply
    229.38x = 341.91 × 213.99
  4. Step 4: Simplify right side
    229.38x = 73,165.32
  5. Step 5: Solve for x
    x = 73,165.32/229.38
  6. Step 6: Final answer
    x = 318.97

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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.