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Finding the Fourth Proportional to 197.17, 295.14 and 105.64

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Solution

The fourth proportional to 197.17, 295.14 and 105.64 is: 158.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.17 : 295.14 = 105.64 : x
  2. Step 2: Convert to fraction form
    197.17/295.14 = 105.64/x
  3. Step 3: Cross multiply
    197.17x = 295.14 × 105.64
  4. Step 4: Simplify right side
    197.17x = 31,178.25
  5. Step 5: Solve for x
    x = 31,178.25/197.17
  6. Step 6: Final answer
    x = 158.13

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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.