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Finding the Fourth Proportional to 297.18, 409.92 and 214.50

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Solution

The fourth proportional to 297.18, 409.92 and 214.50 is: 295.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.18 : 409.92 = 214.50 : x
  2. Step 2: Convert to fraction form
    297.18/409.92 = 214.50/x
  3. Step 3: Cross multiply
    297.18x = 409.92 × 214.50
  4. Step 4: Simplify right side
    297.18x = 87,927.84
  5. Step 5: Solve for x
    x = 87,927.84/297.18
  6. Step 6: Final answer
    x = 295.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.