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Finding the Fourth Proportional to 230.91, 344.69 and 214.84

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Solution

The fourth proportional to 230.91, 344.69 and 214.84 is: 320.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.91 : 344.69 = 214.84 : x
  2. Step 2: Convert to fraction form
    230.91/344.69 = 214.84/x
  3. Step 3: Cross multiply
    230.91x = 344.69 × 214.84
  4. Step 4: Simplify right side
    230.91x = 74,053.20
  5. Step 5: Solve for x
    x = 74,053.20/230.91
  6. Step 6: Final answer
    x = 320.70

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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.