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Finding the Fourth Proportional to 261.78, 361.26 and 151.28

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Solution

The fourth proportional to 261.78, 361.26 and 151.28 is: 208.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.78 : 361.26 = 151.28 : x
  2. Step 2: Convert to fraction form
    261.78/361.26 = 151.28/x
  3. Step 3: Cross multiply
    261.78x = 361.26 × 151.28
  4. Step 4: Simplify right side
    261.78x = 54,649.61
  5. Step 5: Solve for x
    x = 54,649.61/261.78
  6. Step 6: Final answer
    x = 208.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.