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Finding the Fourth Proportional to 202.92, 280.14 and 147.56

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Solution

The fourth proportional to 202.92, 280.14 and 147.56 is: 203.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.92 : 280.14 = 147.56 : x
  2. Step 2: Convert to fraction form
    202.92/280.14 = 147.56/x
  3. Step 3: Cross multiply
    202.92x = 280.14 × 147.56
  4. Step 4: Simplify right side
    202.92x = 41,337.46
  5. Step 5: Solve for x
    x = 41,337.46/202.92
  6. Step 6: Final answer
    x = 203.71

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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.