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Finding the Fourth Proportional to 299.57, 446.79 and 293.48

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Solution

The fourth proportional to 299.57, 446.79 and 293.48 is: 437.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.57 : 446.79 = 293.48 : x
  2. Step 2: Convert to fraction form
    299.57/446.79 = 293.48/x
  3. Step 3: Cross multiply
    299.57x = 446.79 × 293.48
  4. Step 4: Simplify right side
    299.57x = 131,122.46
  5. Step 5: Solve for x
    x = 131,122.46/299.57
  6. Step 6: Final answer
    x = 437.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.