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Finding the Fourth Proportional to 298.01, 410.69 and 214.97

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Solution

The fourth proportional to 298.01, 410.69 and 214.97 is: 296.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.01 : 410.69 = 214.97 : x
  2. Step 2: Convert to fraction form
    298.01/410.69 = 214.97/x
  3. Step 3: Cross multiply
    298.01x = 410.69 × 214.97
  4. Step 4: Simplify right side
    298.01x = 88,282.90
  5. Step 5: Solve for x
    x = 88,282.90/298.01
  6. Step 6: Final answer
    x = 296.25

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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.