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Finding the Fourth Proportional to 226.69, 341.66 and 214.13

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Solution

The fourth proportional to 226.69, 341.66 and 214.13 is: 322.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.69 : 341.66 = 214.13 : x
  2. Step 2: Convert to fraction form
    226.69/341.66 = 214.13/x
  3. Step 3: Cross multiply
    226.69x = 341.66 × 214.13
  4. Step 4: Simplify right side
    226.69x = 73,159.66
  5. Step 5: Solve for x
    x = 73,159.66/226.69
  6. Step 6: Final answer
    x = 322.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.