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Finding the Fourth Proportional to 197.70, 272.38 and 156.24

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Solution

The fourth proportional to 197.70, 272.38 and 156.24 is: 215.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.70 : 272.38 = 156.24 : x
  2. Step 2: Convert to fraction form
    197.70/272.38 = 156.24/x
  3. Step 3: Cross multiply
    197.70x = 272.38 × 156.24
  4. Step 4: Simplify right side
    197.70x = 42,555.87
  5. Step 5: Solve for x
    x = 42,555.87/197.70
  6. Step 6: Final answer
    x = 215.25

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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.