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Finding the Fourth Proportional to 202.94, 304.42 and 155.14

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Solution

The fourth proportional to 202.94, 304.42 and 155.14 is: 232.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.94 : 304.42 = 155.14 : x
  2. Step 2: Convert to fraction form
    202.94/304.42 = 155.14/x
  3. Step 3: Cross multiply
    202.94x = 304.42 × 155.14
  4. Step 4: Simplify right side
    202.94x = 47,227.72
  5. Step 5: Solve for x
    x = 47,227.72/202.94
  6. Step 6: Final answer
    x = 232.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.