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Finding the Fourth Proportional to 293.94, 440.59 and 139.79

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Solution

The fourth proportional to 293.94, 440.59 and 139.79 is: 209.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.94 : 440.59 = 139.79 : x
  2. Step 2: Convert to fraction form
    293.94/440.59 = 139.79/x
  3. Step 3: Cross multiply
    293.94x = 440.59 × 139.79
  4. Step 4: Simplify right side
    293.94x = 61,587.87
  5. Step 5: Solve for x
    x = 61,587.87/293.94
  6. Step 6: Final answer
    x = 209.53

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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.