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Finding the Fourth Proportional to 245.63, 369.13 and 229.38

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Solution

The fourth proportional to 245.63, 369.13 and 229.38 is: 344.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.63 : 369.13 = 229.38 : x
  2. Step 2: Convert to fraction form
    245.63/369.13 = 229.38/x
  3. Step 3: Cross multiply
    245.63x = 369.13 × 229.38
  4. Step 4: Simplify right side
    245.63x = 84,670.47
  5. Step 5: Solve for x
    x = 84,670.47/245.63
  6. Step 6: Final answer
    x = 344.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.