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Finding the Fourth Proportional to 261.88, 394.34 and 193.88

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Solution

The fourth proportional to 261.88, 394.34 and 193.88 is: 291.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.88 : 394.34 = 193.88 : x
  2. Step 2: Convert to fraction form
    261.88/394.34 = 193.88/x
  3. Step 3: Cross multiply
    261.88x = 394.34 × 193.88
  4. Step 4: Simplify right side
    261.88x = 76,455.38
  5. Step 5: Solve for x
    x = 76,455.38/261.88
  6. Step 6: Final answer
    x = 291.95

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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.