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Finding the Fourth Proportional to 152.97, 229.56 and 131.37

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Solution

The fourth proportional to 152.97, 229.56 and 131.37 is: 197.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.97 : 229.56 = 131.37 : x
  2. Step 2: Convert to fraction form
    152.97/229.56 = 131.37/x
  3. Step 3: Cross multiply
    152.97x = 229.56 × 131.37
  4. Step 4: Simplify right side
    152.97x = 30,157.30
  5. Step 5: Solve for x
    x = 30,157.30/152.97
  6. Step 6: Final answer
    x = 197.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.