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Finding the Fourth Proportional to 261.69, 394.29 and 217.02

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Solution

The fourth proportional to 261.69, 394.29 and 217.02 is: 326.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.69 : 394.29 = 217.02 : x
  2. Step 2: Convert to fraction form
    261.69/394.29 = 217.02/x
  3. Step 3: Cross multiply
    261.69x = 394.29 × 217.02
  4. Step 4: Simplify right side
    261.69x = 85,568.82
  5. Step 5: Solve for x
    x = 85,568.82/261.69
  6. Step 6: Final answer
    x = 326.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.