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Finding the Fourth Proportional to 319.87, 478.95 and 276.40

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Solution

The fourth proportional to 319.87, 478.95 and 276.40 is: 413.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.87 : 478.95 = 276.40 : x
  2. Step 2: Convert to fraction form
    319.87/478.95 = 276.40/x
  3. Step 3: Cross multiply
    319.87x = 478.95 × 276.40
  4. Step 4: Simplify right side
    319.87x = 132,381.78
  5. Step 5: Solve for x
    x = 132,381.78/319.87
  6. Step 6: Final answer
    x = 413.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.