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Finding the Fourth Proportional to 337.25, 465.36 and 197.30

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Solution

The fourth proportional to 337.25, 465.36 and 197.30 is: 272.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.25 : 465.36 = 197.30 : x
  2. Step 2: Convert to fraction form
    337.25/465.36 = 197.30/x
  3. Step 3: Cross multiply
    337.25x = 465.36 × 197.30
  4. Step 4: Simplify right side
    337.25x = 91,815.53
  5. Step 5: Solve for x
    x = 91,815.53/337.25
  6. Step 6: Final answer
    x = 272.25

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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.