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Finding the Fourth Proportional to 427.31, 589.38 and 261.61

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Solution

The fourth proportional to 427.31, 589.38 and 261.61 is: 360.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.31 : 589.38 = 261.61 : x
  2. Step 2: Convert to fraction form
    427.31/589.38 = 261.61/x
  3. Step 3: Cross multiply
    427.31x = 589.38 × 261.61
  4. Step 4: Simplify right side
    427.31x = 154,186.39
  5. Step 5: Solve for x
    x = 154,186.39/427.31
  6. Step 6: Final answer
    x = 360.83

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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.