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Finding the Fourth Proportional to 330.25, 455.74 and 197.53

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Solution

The fourth proportional to 330.25, 455.74 and 197.53 is: 272.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.25 : 455.74 = 197.53 : x
  2. Step 2: Convert to fraction form
    330.25/455.74 = 197.53/x
  3. Step 3: Cross multiply
    330.25x = 455.74 × 197.53
  4. Step 4: Simplify right side
    330.25x = 90,020.69
  5. Step 5: Solve for x
    x = 90,020.69/330.25
  6. Step 6: Final answer
    x = 272.59

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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.