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Finding the Fourth Proportional to 297, 409.98 and 213.06

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Solution

The fourth proportional to 297, 409.98 and 213.06 is: 294.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    297 : 409.98 = 213.06 : x
  2. Step 2: Convert to fraction form
    297/409.98 = 213.06/x
  3. Step 3: Cross multiply
    297x = 409.98 × 213.06
  4. Step 4: Simplify right side
    297x = 87,350.34
  5. Step 5: Solve for x
    x = 87,350.34/297
  6. Step 6: Final answer
    x = 294.11

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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.