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Finding the Fourth Proportional to 197.49, 296.23 and 142.70

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Solution

The fourth proportional to 197.49, 296.23 and 142.70 is: 214.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.49 : 296.23 = 142.70 : x
  2. Step 2: Convert to fraction form
    197.49/296.23 = 142.70/x
  3. Step 3: Cross multiply
    197.49x = 296.23 × 142.70
  4. Step 4: Simplify right side
    197.49x = 42,272.02
  5. Step 5: Solve for x
    x = 42,272.02/197.49
  6. Step 6: Final answer
    x = 214.05

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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.