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Finding the Fourth Proportional to 241.74, 333.37 and 158.91

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Solution

The fourth proportional to 241.74, 333.37 and 158.91 is: 219.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.74 : 333.37 = 158.91 : x
  2. Step 2: Convert to fraction form
    241.74/333.37 = 158.91/x
  3. Step 3: Cross multiply
    241.74x = 333.37 × 158.91
  4. Step 4: Simplify right side
    241.74x = 52,975.83
  5. Step 5: Solve for x
    x = 52,975.83/241.74
  6. Step 6: Final answer
    x = 219.14

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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.