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Finding the Fourth Proportional to 243.20, 362.65 and 241.00

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Solution

The fourth proportional to 243.20, 362.65 and 241.00 is: 359.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.20 : 362.65 = 241.00 : x
  2. Step 2: Convert to fraction form
    243.20/362.65 = 241.00/x
  3. Step 3: Cross multiply
    243.20x = 362.65 × 241.00
  4. Step 4: Simplify right side
    243.20x = 87,399.71
  5. Step 5: Solve for x
    x = 87,399.71/243.20
  6. Step 6: Final answer
    x = 359.38

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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.