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Finding the Fourth Proportional to 261.52, 361.06 and 187.78

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Solution

The fourth proportional to 261.52, 361.06 and 187.78 is: 259.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.52 : 361.06 = 187.78 : x
  2. Step 2: Convert to fraction form
    261.52/361.06 = 187.78/x
  3. Step 3: Cross multiply
    261.52x = 361.06 × 187.78
  4. Step 4: Simplify right side
    261.52x = 67,799.85
  5. Step 5: Solve for x
    x = 67,799.85/261.52
  6. Step 6: Final answer
    x = 259.25

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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.