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Finding the Fourth Proportional to 297.77, 446.13 and 193.68

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Solution

The fourth proportional to 297.77, 446.13 and 193.68 is: 290.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.77 : 446.13 = 193.68 : x
  2. Step 2: Convert to fraction form
    297.77/446.13 = 193.68/x
  3. Step 3: Cross multiply
    297.77x = 446.13 × 193.68
  4. Step 4: Simplify right side
    297.77x = 86,406.46
  5. Step 5: Solve for x
    x = 86,406.46/297.77
  6. Step 6: Final answer
    x = 290.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.