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Finding the Fourth Proportional to 261.46, 360.75 and 212.26

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Solution

The fourth proportional to 261.46, 360.75 and 212.26 is: 292.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.46 : 360.75 = 212.26 : x
  2. Step 2: Convert to fraction form
    261.46/360.75 = 212.26/x
  3. Step 3: Cross multiply
    261.46x = 360.75 × 212.26
  4. Step 4: Simplify right side
    261.46x = 76,572.80
  5. Step 5: Solve for x
    x = 76,572.80/261.46
  6. Step 6: Final answer
    x = 292.87

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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.