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Finding the Fourth Proportional to 278.17, 415.26 and 241.58

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Solution

The fourth proportional to 278.17, 415.26 and 241.58 is: 360.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.17 : 415.26 = 241.58 : x
  2. Step 2: Convert to fraction form
    278.17/415.26 = 241.58/x
  3. Step 3: Cross multiply
    278.17x = 415.26 × 241.58
  4. Step 4: Simplify right side
    278.17x = 100,319.55
  5. Step 5: Solve for x
    x = 100,319.55/278.17
  6. Step 6: Final answer
    x = 360.64

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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.