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Finding the Fourth Proportional to 197.18, 294.30 and 169.64

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Solution

The fourth proportional to 197.18, 294.30 and 169.64 is: 253.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.18 : 294.30 = 169.64 : x
  2. Step 2: Convert to fraction form
    197.18/294.30 = 169.64/x
  3. Step 3: Cross multiply
    197.18x = 294.30 × 169.64
  4. Step 4: Simplify right side
    197.18x = 49,925.05
  5. Step 5: Solve for x
    x = 49,925.05/197.18
  6. Step 6: Final answer
    x = 253.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.