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Finding the Fourth Proportional to 624.98, 937.74 and 214.18

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Solution

The fourth proportional to 624.98, 937.74 and 214.18 is: 321.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.98 : 937.74 = 214.18 : x
  2. Step 2: Convert to fraction form
    624.98/937.74 = 214.18/x
  3. Step 3: Cross multiply
    624.98x = 937.74 × 214.18
  4. Step 4: Simplify right side
    624.98x = 200,845.15
  5. Step 5: Solve for x
    x = 200,845.15/624.98
  6. Step 6: Final answer
    x = 321.36

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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.