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Finding the Fourth Proportional to 629.65, 944.40 and 167.47

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Solution

The fourth proportional to 629.65, 944.40 and 167.47 is: 251.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.65 : 944.40 = 167.47 : x
  2. Step 2: Convert to fraction form
    629.65/944.40 = 167.47/x
  3. Step 3: Cross multiply
    629.65x = 944.40 × 167.47
  4. Step 4: Simplify right side
    629.65x = 158,154.57
  5. Step 5: Solve for x
    x = 158,154.57/629.65
  6. Step 6: Final answer
    x = 251.18

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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.