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Finding the Fourth Proportional to 241.62, 333.05 and 148.20

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Solution

The fourth proportional to 241.62, 333.05 and 148.20 is: 204.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.62 : 333.05 = 148.20 : x
  2. Step 2: Convert to fraction form
    241.62/333.05 = 148.20/x
  3. Step 3: Cross multiply
    241.62x = 333.05 × 148.20
  4. Step 4: Simplify right side
    241.62x = 49,356.02
  5. Step 5: Solve for x
    x = 49,356.02/241.62
  6. Step 6: Final answer
    x = 204.27

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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.