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Finding the Fourth Proportional to 298.05, 410.97 and 187.38

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Solution

The fourth proportional to 298.05, 410.97 and 187.38 is: 258.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.05 : 410.97 = 187.38 : x
  2. Step 2: Convert to fraction form
    298.05/410.97 = 187.38/x
  3. Step 3: Cross multiply
    298.05x = 410.97 × 187.38
  4. Step 4: Simplify right side
    298.05x = 77,008.26
  5. Step 5: Solve for x
    x = 77,008.26/298.05
  6. Step 6: Final answer
    x = 258.38

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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.