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Finding the Fourth Proportional to 241.72, 333.45 and 154.30

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Solution

The fourth proportional to 241.72, 333.45 and 154.30 is: 212.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.72 : 333.45 = 154.30 : x
  2. Step 2: Convert to fraction form
    241.72/333.45 = 154.30/x
  3. Step 3: Cross multiply
    241.72x = 333.45 × 154.30
  4. Step 4: Simplify right side
    241.72x = 51,451.34
  5. Step 5: Solve for x
    x = 51,451.34/241.72
  6. Step 6: Final answer
    x = 212.86

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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.