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Finding the Fourth Proportional to 264.62, 397 and 82.02

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Solution

The fourth proportional to 264.62, 397 and 82.02 is: 123.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.62 : 397 = 82.02 : x
  2. Step 2: Convert to fraction form
    264.62/397 = 82.02/x
  3. Step 3: Cross multiply
    264.62x = 397 × 82.02
  4. Step 4: Simplify right side
    264.62x = 32,561.94
  5. Step 5: Solve for x
    x = 32,561.94/264.62
  6. Step 6: Final answer
    x = 123.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.