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Finding the Fourth Proportional to 640.16, 959.40 and 293.44

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Solution

The fourth proportional to 640.16, 959.40 and 293.44 is: 439.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.16 : 959.40 = 293.44 : x
  2. Step 2: Convert to fraction form
    640.16/959.40 = 293.44/x
  3. Step 3: Cross multiply
    640.16x = 959.40 × 293.44
  4. Step 4: Simplify right side
    640.16x = 281,526.34
  5. Step 5: Solve for x
    x = 281,526.34/640.16
  6. Step 6: Final answer
    x = 439.77

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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.