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Finding the Fourth Proportional to 629.51, 944.44 and 213.05

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Solution

The fourth proportional to 629.51, 944.44 and 213.05 is: 319.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.51 : 944.44 = 213.05 : x
  2. Step 2: Convert to fraction form
    629.51/944.44 = 213.05/x
  3. Step 3: Cross multiply
    629.51x = 944.44 × 213.05
  4. Step 4: Simplify right side
    629.51x = 201,214.77
  5. Step 5: Solve for x
    x = 201,214.77/629.51
  6. Step 6: Final answer
    x = 319.64

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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.