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Finding the Fourth Proportional to 241.62, 359.85 and 229.20

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Solution

The fourth proportional to 241.62, 359.85 and 229.20 is: 341.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.62 : 359.85 = 229.20 : x
  2. Step 2: Convert to fraction form
    241.62/359.85 = 229.20/x
  3. Step 3: Cross multiply
    241.62x = 359.85 × 229.20
  4. Step 4: Simplify right side
    241.62x = 82,477.62
  5. Step 5: Solve for x
    x = 82,477.62/241.62
  6. Step 6: Final answer
    x = 341.35

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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.