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Finding the Fourth Proportional to 261.59, 360.89 and 163.28

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Solution

The fourth proportional to 261.59, 360.89 and 163.28 is: 225.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.59 : 360.89 = 163.28 : x
  2. Step 2: Convert to fraction form
    261.59/360.89 = 163.28/x
  3. Step 3: Cross multiply
    261.59x = 360.89 × 163.28
  4. Step 4: Simplify right side
    261.59x = 58,923.50
  5. Step 5: Solve for x
    x = 58,923.50/261.59
  6. Step 6: Final answer
    x = 225.25

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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.