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Finding the Fourth Proportional to 297.94, 410.77 and 192.84

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Solution

The fourth proportional to 297.94, 410.77 and 192.84 is: 265.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.94 : 410.77 = 192.84 : x
  2. Step 2: Convert to fraction form
    297.94/410.77 = 192.84/x
  3. Step 3: Cross multiply
    297.94x = 410.77 × 192.84
  4. Step 4: Simplify right side
    297.94x = 79,211.86
  5. Step 5: Solve for x
    x = 79,211.86/297.94
  6. Step 6: Final answer
    x = 265.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.