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Finding the Fourth Proportional to 278.27, 383.71 and 263.63

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Solution

The fourth proportional to 278.27, 383.71 and 263.63 is: 363.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.27 : 383.71 = 263.63 : x
  2. Step 2: Convert to fraction form
    278.27/383.71 = 263.63/x
  3. Step 3: Cross multiply
    278.27x = 383.71 × 263.63
  4. Step 4: Simplify right side
    278.27x = 101,154.23
  5. Step 5: Solve for x
    x = 101,154.23/278.27
  6. Step 6: Final answer
    x = 363.51

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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.