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Finding the Fourth Proportional to 261.73, 363.44 and 259.57

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Solution

The fourth proportional to 261.73, 363.44 and 259.57 is: 360.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.73 : 363.44 = 259.57 : x
  2. Step 2: Convert to fraction form
    261.73/363.44 = 259.57/x
  3. Step 3: Cross multiply
    261.73x = 363.44 × 259.57
  4. Step 4: Simplify right side
    261.73x = 94,338.12
  5. Step 5: Solve for x
    x = 94,338.12/261.73
  6. Step 6: Final answer
    x = 360.44

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.