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Finding the Fourth Proportional to 278.54, 383.88 and 223.46

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Solution

The fourth proportional to 278.54, 383.88 and 223.46 is: 307.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.54 : 383.88 = 223.46 : x
  2. Step 2: Convert to fraction form
    278.54/383.88 = 223.46/x
  3. Step 3: Cross multiply
    278.54x = 383.88 × 223.46
  4. Step 4: Simplify right side
    278.54x = 85,781.82
  5. Step 5: Solve for x
    x = 85,781.82/278.54
  6. Step 6: Final answer
    x = 307.97

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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.