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Finding the Fourth Proportional to 150.68, 208.91 and 145.61

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Solution

The fourth proportional to 150.68, 208.91 and 145.61 is: 201.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.68 : 208.91 = 145.61 : x
  2. Step 2: Convert to fraction form
    150.68/208.91 = 145.61/x
  3. Step 3: Cross multiply
    150.68x = 208.91 × 145.61
  4. Step 4: Simplify right side
    150.68x = 30,420.05
  5. Step 5: Solve for x
    x = 30,420.05/150.68
  6. Step 6: Final answer
    x = 201.89

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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.