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Finding the Fourth Proportional to 640.03, 960.14 and 207.09

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Solution

The fourth proportional to 640.03, 960.14 and 207.09 is: 310.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.03 : 960.14 = 207.09 : x
  2. Step 2: Convert to fraction form
    640.03/960.14 = 207.09/x
  3. Step 3: Cross multiply
    640.03x = 960.14 × 207.09
  4. Step 4: Simplify right side
    640.03x = 198,835.39
  5. Step 5: Solve for x
    x = 198,835.39/640.03
  6. Step 6: Final answer
    x = 310.67

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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.