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Finding the Fourth Proportional to 213.19, 294.10 and 139.48

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Solution

The fourth proportional to 213.19, 294.10 and 139.48 is: 192.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.19 : 294.10 = 139.48 : x
  2. Step 2: Convert to fraction form
    213.19/294.10 = 139.48/x
  3. Step 3: Cross multiply
    213.19x = 294.10 × 139.48
  4. Step 4: Simplify right side
    213.19x = 41,021.07
  5. Step 5: Solve for x
    x = 41,021.07/213.19
  6. Step 6: Final answer
    x = 192.42

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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.