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Finding the Fourth Proportional to 938.23, 1,406.90 and 321.98

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Solution

The fourth proportional to 938.23, 1,406.90 and 321.98 is: 482.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.23 : 1,406.90 = 321.98 : x
  2. Step 2: Convert to fraction form
    938.23/1,406.90 = 321.98/x
  3. Step 3: Cross multiply
    938.23x = 1,406.90 × 321.98
  4. Step 4: Simplify right side
    938.23x = 452,987.43
  5. Step 5: Solve for x
    x = 452,987.43/938.23
  6. Step 6: Final answer
    x = 482.81

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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.