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Finding the Fourth Proportional to 298.28, 410.77 and 291.92

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Solution

The fourth proportional to 298.28, 410.77 and 291.92 is: 402.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.28 : 410.77 = 291.92 : x
  2. Step 2: Convert to fraction form
    298.28/410.77 = 291.92/x
  3. Step 3: Cross multiply
    298.28x = 410.77 × 291.92
  4. Step 4: Simplify right side
    298.28x = 119,911.98
  5. Step 5: Solve for x
    x = 119,911.98/298.28
  6. Step 6: Final answer
    x = 402.01

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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.