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Finding the Fourth Proportional to 243.60, 363.78 and 241.08

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Solution

The fourth proportional to 243.60, 363.78 and 241.08 is: 360.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.60 : 363.78 = 241.08 : x
  2. Step 2: Convert to fraction form
    243.60/363.78 = 241.08/x
  3. Step 3: Cross multiply
    243.60x = 363.78 × 241.08
  4. Step 4: Simplify right side
    243.60x = 87,700.08
  5. Step 5: Solve for x
    x = 87,700.08/243.60
  6. Step 6: Final answer
    x = 360.02

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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.