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Finding the Fourth Proportional to 213.58, 294.88 and 140.03

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Solution

The fourth proportional to 213.58, 294.88 and 140.03 is: 193.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.58 : 294.88 = 140.03 : x
  2. Step 2: Convert to fraction form
    213.58/294.88 = 140.03/x
  3. Step 3: Cross multiply
    213.58x = 294.88 × 140.03
  4. Step 4: Simplify right side
    213.58x = 41,289.87
  5. Step 5: Solve for x
    x = 41,289.87/213.58
  6. Step 6: Final answer
    x = 193.33

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