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Finding the Fourth Proportional to 230.69, 318.78 and 175.33

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Solution

The fourth proportional to 230.69, 318.78 and 175.33 is: 242.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.69 : 318.78 = 175.33 : x
  2. Step 2: Convert to fraction form
    230.69/318.78 = 175.33/x
  3. Step 3: Cross multiply
    230.69x = 318.78 × 175.33
  4. Step 4: Simplify right side
    230.69x = 55,891.70
  5. Step 5: Solve for x
    x = 55,891.70/230.69
  6. Step 6: Final answer
    x = 242.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.