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Finding the Fourth Proportional to 244.78, 364.91 and 230.98

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Solution

The fourth proportional to 244.78, 364.91 and 230.98 is: 344.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.78 : 364.91 = 230.98 : x
  2. Step 2: Convert to fraction form
    244.78/364.91 = 230.98/x
  3. Step 3: Cross multiply
    244.78x = 364.91 × 230.98
  4. Step 4: Simplify right side
    244.78x = 84,286.91
  5. Step 5: Solve for x
    x = 84,286.91/244.78
  6. Step 6: Final answer
    x = 344.34

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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.