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Finding the Fourth Proportional to 293.16, 439.84 and 139.21

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Solution

The fourth proportional to 293.16, 439.84 and 139.21 is: 208.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.16 : 439.84 = 139.21 : x
  2. Step 2: Convert to fraction form
    293.16/439.84 = 139.21/x
  3. Step 3: Cross multiply
    293.16x = 439.84 × 139.21
  4. Step 4: Simplify right side
    293.16x = 61,230.13
  5. Step 5: Solve for x
    x = 61,230.13/293.16
  6. Step 6: Final answer
    x = 208.86

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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.