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Finding the Fourth Proportional to 293.06, 439.26 and 139.02

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Solution

The fourth proportional to 293.06, 439.26 and 139.02 is: 208.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.06 : 439.26 = 139.02 : x
  2. Step 2: Convert to fraction form
    293.06/439.26 = 139.02/x
  3. Step 3: Cross multiply
    293.06x = 439.26 × 139.02
  4. Step 4: Simplify right side
    293.06x = 61,065.93
  5. Step 5: Solve for x
    x = 61,065.93/293.06
  6. Step 6: Final answer
    x = 208.37

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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.