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Finding the Fourth Proportional to 245.38, 368.07 and 197.19

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Solution

The fourth proportional to 245.38, 368.07 and 197.19 is: 295.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.38 : 368.07 = 197.19 : x
  2. Step 2: Convert to fraction form
    245.38/368.07 = 197.19/x
  3. Step 3: Cross multiply
    245.38x = 368.07 × 197.19
  4. Step 4: Simplify right side
    245.38x = 72,579.72
  5. Step 5: Solve for x
    x = 72,579.72/245.38
  6. Step 6: Final answer
    x = 295.79

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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.