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Finding the Fourth Proportional to 261.16, 360.87 and 251.59

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Solution

The fourth proportional to 261.16, 360.87 and 251.59 is: 347.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.16 : 360.87 = 251.59 : x
  2. Step 2: Convert to fraction form
    261.16/360.87 = 251.59/x
  3. Step 3: Cross multiply
    261.16x = 360.87 × 251.59
  4. Step 4: Simplify right side
    261.16x = 90,791.28
  5. Step 5: Solve for x
    x = 90,791.28/261.16
  6. Step 6: Final answer
    x = 347.65

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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.