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Finding the Fourth Proportional to 197.65, 272.94 and 142.77

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Solution

The fourth proportional to 197.65, 272.94 and 142.77 is: 197.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.65 : 272.94 = 142.77 : x
  2. Step 2: Convert to fraction form
    197.65/272.94 = 142.77/x
  3. Step 3: Cross multiply
    197.65x = 272.94 × 142.77
  4. Step 4: Simplify right side
    197.65x = 38,967.64
  5. Step 5: Solve for x
    x = 38,967.64/197.65
  6. Step 6: Final answer
    x = 197.15

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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.