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Finding the Fourth Proportional to 261.30, 360.59 and 143.27

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Solution

The fourth proportional to 261.30, 360.59 and 143.27 is: 197.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.30 : 360.59 = 143.27 : x
  2. Step 2: Convert to fraction form
    261.30/360.59 = 143.27/x
  3. Step 3: Cross multiply
    261.30x = 360.59 × 143.27
  4. Step 4: Simplify right side
    261.30x = 51,661.91
  5. Step 5: Solve for x
    x = 51,661.91/261.30
  6. Step 6: Final answer
    x = 197.71

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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.