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Finding the Fourth Proportional to 278.33, 385.88 and 264.47

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Solution

The fourth proportional to 278.33, 385.88 and 264.47 is: 366.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.33 : 385.88 = 264.47 : x
  2. Step 2: Convert to fraction form
    278.33/385.88 = 264.47/x
  3. Step 3: Cross multiply
    278.33x = 385.88 × 264.47
  4. Step 4: Simplify right side
    278.33x = 102,050.43
  5. Step 5: Solve for x
    x = 102,050.43/278.33
  6. Step 6: Final answer
    x = 366.66

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.