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Finding the Fourth Proportional to 241.55, 363.61 and 208.06

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Solution

The fourth proportional to 241.55, 363.61 and 208.06 is: 313.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.55 : 363.61 = 208.06 : x
  2. Step 2: Convert to fraction form
    241.55/363.61 = 208.06/x
  3. Step 3: Cross multiply
    241.55x = 363.61 × 208.06
  4. Step 4: Simplify right side
    241.55x = 75,652.05
  5. Step 5: Solve for x
    x = 75,652.05/241.55
  6. Step 6: Final answer
    x = 313.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.