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Finding the Fourth Proportional to 298.18, 410.97 and 281.71

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Solution

The fourth proportional to 298.18, 410.97 and 281.71 is: 388.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.18 : 410.97 = 281.71 : x
  2. Step 2: Convert to fraction form
    298.18/410.97 = 281.71/x
  3. Step 3: Cross multiply
    298.18x = 410.97 × 281.71
  4. Step 4: Simplify right side
    298.18x = 115,774.36
  5. Step 5: Solve for x
    x = 115,774.36/298.18
  6. Step 6: Final answer
    x = 388.27

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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.