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Finding the Fourth Proportional to 150.39, 206.18 and 146.31

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Solution

The fourth proportional to 150.39, 206.18 and 146.31 is: 200.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.39 : 206.18 = 146.31 : x
  2. Step 2: Convert to fraction form
    150.39/206.18 = 146.31/x
  3. Step 3: Cross multiply
    150.39x = 206.18 × 146.31
  4. Step 4: Simplify right side
    150.39x = 30,166.56
  5. Step 5: Solve for x
    x = 30,166.56/150.39
  6. Step 6: Final answer
    x = 200.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.