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Finding the Fourth Proportional to 227.51, 340.10 and 169.70

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Solution

The fourth proportional to 227.51, 340.10 and 169.70 is: 253.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.51 : 340.10 = 169.70 : x
  2. Step 2: Convert to fraction form
    227.51/340.10 = 169.70/x
  3. Step 3: Cross multiply
    227.51x = 340.10 × 169.70
  4. Step 4: Simplify right side
    227.51x = 57,713.06
  5. Step 5: Solve for x
    x = 57,713.06/227.51
  6. Step 6: Final answer
    x = 253.67

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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.