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Finding the Fourth Proportional to 241.58, 362.02 and 138.71

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Solution

The fourth proportional to 241.58, 362.02 and 138.71 is: 207.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.58 : 362.02 = 138.71 : x
  2. Step 2: Convert to fraction form
    241.58/362.02 = 138.71/x
  3. Step 3: Cross multiply
    241.58x = 362.02 × 138.71
  4. Step 4: Simplify right side
    241.58x = 50,213.29
  5. Step 5: Solve for x
    x = 50,213.29/241.58
  6. Step 6: Final answer
    x = 207.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.