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Finding the Fourth Proportional to 213.93, 296.60 and 202.95

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Solution

The fourth proportional to 213.93, 296.60 and 202.95 is: 281.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.93 : 296.60 = 202.95 : x
  2. Step 2: Convert to fraction form
    213.93/296.60 = 202.95/x
  3. Step 3: Cross multiply
    213.93x = 296.60 × 202.95
  4. Step 4: Simplify right side
    213.93x = 60,193.96
  5. Step 5: Solve for x
    x = 60,193.96/213.93
  6. Step 6: Final answer
    x = 281.37

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.