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Finding the Fourth Proportional to 213.07, 293.98 and 139.39

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Solution

The fourth proportional to 213.07, 293.98 and 139.39 is: 192.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.07 : 293.98 = 139.39 : x
  2. Step 2: Convert to fraction form
    213.07/293.98 = 139.39/x
  3. Step 3: Cross multiply
    213.07x = 293.98 × 139.39
  4. Step 4: Simplify right side
    213.07x = 40,977.87
  5. Step 5: Solve for x
    x = 40,977.87/213.07
  6. Step 6: Final answer
    x = 192.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.