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Finding the Fourth Proportional to 261.81, 360.17 and 226.57

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Solution

The fourth proportional to 261.81, 360.17 and 226.57 is: 311.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.81 : 360.17 = 226.57 : x
  2. Step 2: Convert to fraction form
    261.81/360.17 = 226.57/x
  3. Step 3: Cross multiply
    261.81x = 360.17 × 226.57
  4. Step 4: Simplify right side
    261.81x = 81,603.72
  5. Step 5: Solve for x
    x = 81,603.72/261.81
  6. Step 6: Final answer
    x = 311.69

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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.