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Finding the Fourth Proportional to 640.20, 960.32 and 178.03

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Solution

The fourth proportional to 640.20, 960.32 and 178.03 is: 267.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.20 : 960.32 = 178.03 : x
  2. Step 2: Convert to fraction form
    640.20/960.32 = 178.03/x
  3. Step 3: Cross multiply
    640.20x = 960.32 × 178.03
  4. Step 4: Simplify right side
    640.20x = 170,967.42
  5. Step 5: Solve for x
    x = 170,967.42/640.20
  6. Step 6: Final answer
    x = 267.05

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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.