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Finding the Fourth Proportional to 276.50, 413.02 and 235.50

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Solution

The fourth proportional to 276.50, 413.02 and 235.50 is: 351.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.50 : 413.02 = 235.50 : x
  2. Step 2: Convert to fraction form
    276.50/413.02 = 235.50/x
  3. Step 3: Cross multiply
    276.50x = 413.02 × 235.50
  4. Step 4: Simplify right side
    276.50x = 97,266.21
  5. Step 5: Solve for x
    x = 97,266.21/276.50
  6. Step 6: Final answer
    x = 351.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.