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Finding the Fourth Proportional to 297.21, 409.98 and 262.32

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Solution

The fourth proportional to 297.21, 409.98 and 262.32 is: 361.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.21 : 409.98 = 262.32 : x
  2. Step 2: Convert to fraction form
    297.21/409.98 = 262.32/x
  3. Step 3: Cross multiply
    297.21x = 409.98 × 262.32
  4. Step 4: Simplify right side
    297.21x = 107,545.95
  5. Step 5: Solve for x
    x = 107,545.95/297.21
  6. Step 6: Final answer
    x = 361.85

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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.