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Finding the Fourth Proportional to 261.26, 392.09 and 178.82

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Solution

The fourth proportional to 261.26, 392.09 and 178.82 is: 268.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.26 : 392.09 = 178.82 : x
  2. Step 2: Convert to fraction form
    261.26/392.09 = 178.82/x
  3. Step 3: Cross multiply
    261.26x = 392.09 × 178.82
  4. Step 4: Simplify right side
    261.26x = 70,112.64
  5. Step 5: Solve for x
    x = 70,112.64/261.26
  6. Step 6: Final answer
    x = 268.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.