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Finding the Fourth Proportional to 330.12, 455.35 and 197.25

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Solution

The fourth proportional to 330.12, 455.35 and 197.25 is: 272.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.12 : 455.35 = 197.25 : x
  2. Step 2: Convert to fraction form
    330.12/455.35 = 197.25/x
  3. Step 3: Cross multiply
    330.12x = 455.35 × 197.25
  4. Step 4: Simplify right side
    330.12x = 89,817.79
  5. Step 5: Solve for x
    x = 89,817.79/330.12
  6. Step 6: Final answer
    x = 272.08

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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.