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Finding the Fourth Proportional to 150.56, 206.80 and 147.68

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Solution

The fourth proportional to 150.56, 206.80 and 147.68 is: 202.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.56 : 206.80 = 147.68 : x
  2. Step 2: Convert to fraction form
    150.56/206.80 = 147.68/x
  3. Step 3: Cross multiply
    150.56x = 206.80 × 147.68
  4. Step 4: Simplify right side
    150.56x = 30,540.22
  5. Step 5: Solve for x
    x = 30,540.22/150.56
  6. Step 6: Final answer
    x = 202.84

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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.