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Finding the Fourth Proportional to 276.07, 413.97 and 93.40

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Solution

The fourth proportional to 276.07, 413.97 and 93.40 is: 140.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.07 : 413.97 = 93.40 : x
  2. Step 2: Convert to fraction form
    276.07/413.97 = 93.40/x
  3. Step 3: Cross multiply
    276.07x = 413.97 × 93.40
  4. Step 4: Simplify right side
    276.07x = 38,664.19
  5. Step 5: Solve for x
    x = 38,664.19/276.07
  6. Step 6: Final answer
    x = 140.05

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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.