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Finding the Fourth Proportional to 300.60, 447.80 and 293.40

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Solution

The fourth proportional to 300.60, 447.80 and 293.40 is: 437.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.60 : 447.80 = 293.40 : x
  2. Step 2: Convert to fraction form
    300.60/447.80 = 293.40/x
  3. Step 3: Cross multiply
    300.60x = 447.80 × 293.40
  4. Step 4: Simplify right side
    300.60x = 131,383.05
  5. Step 5: Solve for x
    x = 131,383.05/300.60
  6. Step 6: Final answer
    x = 437.07

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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.