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Finding the Fourth Proportional to 197.16, 272.24 and 155.68

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Solution

The fourth proportional to 197.16, 272.24 and 155.68 is: 214.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.16 : 272.24 = 155.68 : x
  2. Step 2: Convert to fraction form
    197.16/272.24 = 155.68/x
  3. Step 3: Cross multiply
    197.16x = 272.24 × 155.68
  4. Step 4: Simplify right side
    197.16x = 42,382.32
  5. Step 5: Solve for x
    x = 42,382.32/197.16
  6. Step 6: Final answer
    x = 214.96

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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.