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Finding the Fourth Proportional to 261.40, 360.86 and 163.18

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Solution

The fourth proportional to 261.40, 360.86 and 163.18 is: 225.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.40 : 360.86 = 163.18 : x
  2. Step 2: Convert to fraction form
    261.40/360.86 = 163.18/x
  3. Step 3: Cross multiply
    261.40x = 360.86 × 163.18
  4. Step 4: Simplify right side
    261.40x = 58,885.13
  5. Step 5: Solve for x
    x = 58,885.13/261.40
  6. Step 6: Final answer
    x = 225.27

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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.