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Finding the Fourth Proportional to 261.44, 394.48 and 251.84

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Solution

The fourth proportional to 261.44, 394.48 and 251.84 is: 379.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.44 : 394.48 = 251.84 : x
  2. Step 2: Convert to fraction form
    261.44/394.48 = 251.84/x
  3. Step 3: Cross multiply
    261.44x = 394.48 × 251.84
  4. Step 4: Simplify right side
    261.44x = 99,345.84
  5. Step 5: Solve for x
    x = 99,345.84/261.44
  6. Step 6: Final answer
    x = 379.99

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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.