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Finding the Fourth Proportional to 278.03, 383.40 and 241.11

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Solution

The fourth proportional to 278.03, 383.40 and 241.11 is: 332.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.03 : 383.40 = 241.11 : x
  2. Step 2: Convert to fraction form
    278.03/383.40 = 241.11/x
  3. Step 3: Cross multiply
    278.03x = 383.40 × 241.11
  4. Step 4: Simplify right side
    278.03x = 92,441.57
  5. Step 5: Solve for x
    x = 92,441.57/278.03
  6. Step 6: Final answer
    x = 332.48

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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.