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Finding the Fourth Proportional to 297.87, 446.03 and 193.47

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Solution

The fourth proportional to 297.87, 446.03 and 193.47 is: 289.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.87 : 446.03 = 193.47 : x
  2. Step 2: Convert to fraction form
    297.87/446.03 = 193.47/x
  3. Step 3: Cross multiply
    297.87x = 446.03 × 193.47
  4. Step 4: Simplify right side
    297.87x = 86,292.46
  5. Step 5: Solve for x
    x = 86,292.46/297.87
  6. Step 6: Final answer
    x = 289.70

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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.