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Finding the Fourth Proportional to 261.09, 359.97 and 167.67

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Solution

The fourth proportional to 261.09, 359.97 and 167.67 is: 231.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.09 : 359.97 = 167.67 : x
  2. Step 2: Convert to fraction form
    261.09/359.97 = 167.67/x
  3. Step 3: Cross multiply
    261.09x = 359.97 × 167.67
  4. Step 4: Simplify right side
    261.09x = 60,355.54
  5. Step 5: Solve for x
    x = 60,355.54/261.09
  6. Step 6: Final answer
    x = 231.17

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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.