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Finding the Fourth Proportional to 299.60, 446.80 and 293.84

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Solution

The fourth proportional to 299.60, 446.80 and 293.84 is: 438.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.60 : 446.80 = 293.84 : x
  2. Step 2: Convert to fraction form
    299.60/446.80 = 293.84/x
  3. Step 3: Cross multiply
    299.60x = 446.80 × 293.84
  4. Step 4: Simplify right side
    299.60x = 131,287.71
  5. Step 5: Solve for x
    x = 131,287.71/299.60
  6. Step 6: Final answer
    x = 438.21

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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.