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Finding the Fourth Proportional to 297.10, 410.07 and 214.39

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Solution

The fourth proportional to 297.10, 410.07 and 214.39 is: 295.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.10 : 410.07 = 214.39 : x
  2. Step 2: Convert to fraction form
    297.10/410.07 = 214.39/x
  3. Step 3: Cross multiply
    297.10x = 410.07 × 214.39
  4. Step 4: Simplify right side
    297.10x = 87,914.91
  5. Step 5: Solve for x
    x = 87,914.91/297.10
  6. Step 6: Final answer
    x = 295.91

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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.