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Finding the Fourth Proportional to 297.98, 411.29 and 193.19

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Solution

The fourth proportional to 297.98, 411.29 and 193.19 is: 266.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.98 : 411.29 = 193.19 : x
  2. Step 2: Convert to fraction form
    297.98/411.29 = 193.19/x
  3. Step 3: Cross multiply
    297.98x = 411.29 × 193.19
  4. Step 4: Simplify right side
    297.98x = 79,457.12
  5. Step 5: Solve for x
    x = 79,457.12/297.98
  6. Step 6: Final answer
    x = 266.65

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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.