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Finding the Fourth Proportional to 197.40, 272.68 and 154.30

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Solution

The fourth proportional to 197.40, 272.68 and 154.30 is: 213.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.40 : 272.68 = 154.30 : x
  2. Step 2: Convert to fraction form
    197.40/272.68 = 154.30/x
  3. Step 3: Cross multiply
    197.40x = 272.68 × 154.30
  4. Step 4: Simplify right side
    197.40x = 42,074.52
  5. Step 5: Solve for x
    x = 42,074.52/197.40
  6. Step 6: Final answer
    x = 213.14

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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.