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Finding the Fourth Proportional to 939.41, 1,408.70 and 361.88

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Solution

The fourth proportional to 939.41, 1,408.70 and 361.88 is: 542.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.41 : 1,408.70 = 361.88 : x
  2. Step 2: Convert to fraction form
    939.41/1,408.70 = 361.88/x
  3. Step 3: Cross multiply
    939.41x = 1,408.70 × 361.88
  4. Step 4: Simplify right side
    939.41x = 509,774.22
  5. Step 5: Solve for x
    x = 509,774.22/939.41
  6. Step 6: Final answer
    x = 542.66

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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.