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Finding the Fourth Proportional to 230.76, 344.61 and 189.69

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Solution

The fourth proportional to 230.76, 344.61 and 189.69 is: 283.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.76 : 344.61 = 189.69 : x
  2. Step 2: Convert to fraction form
    230.76/344.61 = 189.69/x
  3. Step 3: Cross multiply
    230.76x = 344.61 × 189.69
  4. Step 4: Simplify right side
    230.76x = 65,369.07
  5. Step 5: Solve for x
    x = 65,369.07/230.76
  6. Step 6: Final answer
    x = 283.28

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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.