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Finding the Fourth Proportional to 298.16, 410.22 and 275.75

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Solution

The fourth proportional to 298.16, 410.22 and 275.75 is: 379.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.16 : 410.22 = 275.75 : x
  2. Step 2: Convert to fraction form
    298.16/410.22 = 275.75/x
  3. Step 3: Cross multiply
    298.16x = 410.22 × 275.75
  4. Step 4: Simplify right side
    298.16x = 113,116.11
  5. Step 5: Solve for x
    x = 113,116.11/298.16
  6. Step 6: Final answer
    x = 379.39

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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.