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Finding the Fourth Proportional to 213.84, 294.84 and 140.13

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Solution

The fourth proportional to 213.84, 294.84 and 140.13 is: 193.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.84 : 294.84 = 140.13 : x
  2. Step 2: Convert to fraction form
    213.84/294.84 = 140.13/x
  3. Step 3: Cross multiply
    213.84x = 294.84 × 140.13
  4. Step 4: Simplify right side
    213.84x = 41,315.93
  5. Step 5: Solve for x
    x = 41,315.93/213.84
  6. Step 6: Final answer
    x = 193.21

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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.