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Finding the Fourth Proportional to 293.90, 440.85 and 88.45

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Solution

The fourth proportional to 293.90, 440.85 and 88.45 is: 132.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.90 : 440.85 = 88.45 : x
  2. Step 2: Convert to fraction form
    293.90/440.85 = 88.45/x
  3. Step 3: Cross multiply
    293.90x = 440.85 × 88.45
  4. Step 4: Simplify right side
    293.90x = 38,993.03
  5. Step 5: Solve for x
    x = 38,993.03/293.90
  6. Step 6: Final answer
    x = 132.68

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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.