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Finding the Fourth Proportional to 297.18, 409.05 and 214.16

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Solution

The fourth proportional to 297.18, 409.05 and 214.16 is: 294.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.18 : 409.05 = 214.16 : x
  2. Step 2: Convert to fraction form
    297.18/409.05 = 214.16/x
  3. Step 3: Cross multiply
    297.18x = 409.05 × 214.16
  4. Step 4: Simplify right side
    297.18x = 87,600.10
  5. Step 5: Solve for x
    x = 87,600.10/297.18
  6. Step 6: Final answer
    x = 294.77

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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.