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Finding the Fourth Proportional to 293.43, 440.08 and 98.44

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Solution

The fourth proportional to 293.43, 440.08 and 98.44 is: 147.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.43 : 440.08 = 98.44 : x
  2. Step 2: Convert to fraction form
    293.43/440.08 = 98.44/x
  3. Step 3: Cross multiply
    293.43x = 440.08 × 98.44
  4. Step 4: Simplify right side
    293.43x = 43,322.15
  5. Step 5: Solve for x
    x = 43,322.15/293.43
  6. Step 6: Final answer
    x = 147.64

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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.