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Finding the Fourth Proportional to 261.64, 360.98 and 163.36

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Solution

The fourth proportional to 261.64, 360.98 and 163.36 is: 225.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.64 : 360.98 = 163.36 : x
  2. Step 2: Convert to fraction form
    261.64/360.98 = 163.36/x
  3. Step 3: Cross multiply
    261.64x = 360.98 × 163.36
  4. Step 4: Simplify right side
    261.64x = 58,968.88
  5. Step 5: Solve for x
    x = 58,968.88/261.64
  6. Step 6: Final answer
    x = 225.38

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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.