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Finding the Fourth Proportional to 297.76, 413.02 and 289.84

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Solution

The fourth proportional to 297.76, 413.02 and 289.84 is: 402.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.76 : 413.02 = 289.84 : x
  2. Step 2: Convert to fraction form
    297.76/413.02 = 289.84/x
  3. Step 3: Cross multiply
    297.76x = 413.02 × 289.84
  4. Step 4: Simplify right side
    297.76x = 119,709.72
  5. Step 5: Solve for x
    x = 119,709.72/297.76
  6. Step 6: Final answer
    x = 402.03

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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.