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Finding the Fourth Proportional to 293.49, 440.17 and 98.50

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Solution

The fourth proportional to 293.49, 440.17 and 98.50 is: 147.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.49 : 440.17 = 98.50 : x
  2. Step 2: Convert to fraction form
    293.49/440.17 = 98.50/x
  3. Step 3: Cross multiply
    293.49x = 440.17 × 98.50
  4. Step 4: Simplify right side
    293.49x = 43,356.75
  5. Step 5: Solve for x
    x = 43,356.75/293.49
  6. Step 6: Final answer
    x = 147.73

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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.