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Finding the Fourth Proportional to 227.82, 340.54 and 169.50

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Solution

The fourth proportional to 227.82, 340.54 and 169.50 is: 253.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.82 : 340.54 = 169.50 : x
  2. Step 2: Convert to fraction form
    227.82/340.54 = 169.50/x
  3. Step 3: Cross multiply
    227.82x = 340.54 × 169.50
  4. Step 4: Simplify right side
    227.82x = 57,721.53
  5. Step 5: Solve for x
    x = 57,721.53/227.82
  6. Step 6: Final answer
    x = 253.36

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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.