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Finding the Fourth Proportional to 150.71, 225.82 and 145.09

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Solution

The fourth proportional to 150.71, 225.82 and 145.09 is: 217.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.71 : 225.82 = 145.09 : x
  2. Step 2: Convert to fraction form
    150.71/225.82 = 145.09/x
  3. Step 3: Cross multiply
    150.71x = 225.82 × 145.09
  4. Step 4: Simplify right side
    150.71x = 32,763.30
  5. Step 5: Solve for x
    x = 32,763.30/150.71
  6. Step 6: Final answer
    x = 217.39

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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.