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Finding the Fourth Proportional to 629.16, 942.38 and 355.11

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Solution

The fourth proportional to 629.16, 942.38 and 355.11 is: 531.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.16 : 942.38 = 355.11 : x
  2. Step 2: Convert to fraction form
    629.16/942.38 = 355.11/x
  3. Step 3: Cross multiply
    629.16x = 942.38 × 355.11
  4. Step 4: Simplify right side
    629.16x = 334,646.79
  5. Step 5: Solve for x
    x = 334,646.79/629.16
  6. Step 6: Final answer
    x = 531.89

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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.