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Finding the Fourth Proportional to 261.78, 361.10 and 151.23

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Solution

The fourth proportional to 261.78, 361.10 and 151.23 is: 208.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.78 : 361.10 = 151.23 : x
  2. Step 2: Convert to fraction form
    261.78/361.10 = 151.23/x
  3. Step 3: Cross multiply
    261.78x = 361.10 × 151.23
  4. Step 4: Simplify right side
    261.78x = 54,608.40
  5. Step 5: Solve for x
    x = 54,608.40/261.78
  6. Step 6: Final answer
    x = 208.60

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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.