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Finding the Fourth Proportional to 278.02, 382.83 and 241.18

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Solution

The fourth proportional to 278.02, 382.83 and 241.18 is: 332.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.02 : 382.83 = 241.18 : x
  2. Step 2: Convert to fraction form
    278.02/382.83 = 241.18/x
  3. Step 3: Cross multiply
    278.02x = 382.83 × 241.18
  4. Step 4: Simplify right side
    278.02x = 92,330.94
  5. Step 5: Solve for x
    x = 92,330.94/278.02
  6. Step 6: Final answer
    x = 332.10

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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.