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Finding the Fourth Proportional to 150.93, 208.56 and 109.62

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Solution

The fourth proportional to 150.93, 208.56 and 109.62 is: 151.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.93 : 208.56 = 109.62 : x
  2. Step 2: Convert to fraction form
    150.93/208.56 = 109.62/x
  3. Step 3: Cross multiply
    150.93x = 208.56 × 109.62
  4. Step 4: Simplify right side
    150.93x = 22,862.35
  5. Step 5: Solve for x
    x = 22,862.35/150.93
  6. Step 6: Final answer
    x = 151.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.