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Finding the Fourth Proportional to 150.71, 209.05 and 145.25

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Solution

The fourth proportional to 150.71, 209.05 and 145.25 is: 201.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.71 : 209.05 = 145.25 : x
  2. Step 2: Convert to fraction form
    150.71/209.05 = 145.25/x
  3. Step 3: Cross multiply
    150.71x = 209.05 × 145.25
  4. Step 4: Simplify right side
    150.71x = 30,362.74
  5. Step 5: Solve for x
    x = 30,362.74/150.71
  6. Step 6: Final answer
    x = 201.46

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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.