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Finding the Fourth Proportional to 642.85, 964.12 and 180.64

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Solution

The fourth proportional to 642.85, 964.12 and 180.64 is: 270.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.85 : 964.12 = 180.64 : x
  2. Step 2: Convert to fraction form
    642.85/964.12 = 180.64/x
  3. Step 3: Cross multiply
    642.85x = 964.12 × 180.64
  4. Step 4: Simplify right side
    642.85x = 174,157.73
  5. Step 5: Solve for x
    x = 174,157.73/642.85
  6. Step 6: Final answer
    x = 270.92

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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.