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Finding the Fourth Proportional to 241.52, 360.74 and 163.84

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Solution

The fourth proportional to 241.52, 360.74 and 163.84 is: 244.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.52 : 360.74 = 163.84 : x
  2. Step 2: Convert to fraction form
    241.52/360.74 = 163.84/x
  3. Step 3: Cross multiply
    241.52x = 360.74 × 163.84
  4. Step 4: Simplify right side
    241.52x = 59,103.64
  5. Step 5: Solve for x
    x = 59,103.64/241.52
  6. Step 6: Final answer
    x = 244.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.