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Finding the Fourth Proportional to 276.70, 413.02 and 258.46

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Solution

The fourth proportional to 276.70, 413.02 and 258.46 is: 385.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.70 : 413.02 = 258.46 : x
  2. Step 2: Convert to fraction form
    276.70/413.02 = 258.46/x
  3. Step 3: Cross multiply
    276.70x = 413.02 × 258.46
  4. Step 4: Simplify right side
    276.70x = 106,749.15
  5. Step 5: Solve for x
    x = 106,749.15/276.70
  6. Step 6: Final answer
    x = 385.79

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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.