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Finding the Fourth Proportional to 261.36, 359.01 and 217.44

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Solution

The fourth proportional to 261.36, 359.01 and 217.44 is: 298.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.36 : 359.01 = 217.44 : x
  2. Step 2: Convert to fraction form
    261.36/359.01 = 217.44/x
  3. Step 3: Cross multiply
    261.36x = 359.01 × 217.44
  4. Step 4: Simplify right side
    261.36x = 78,063.13
  5. Step 5: Solve for x
    x = 78,063.13/261.36
  6. Step 6: Final answer
    x = 298.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.