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Finding the Fourth Proportional to 624.97, 937.73 and 214.40

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Solution

The fourth proportional to 624.97, 937.73 and 214.40 is: 321.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.97 : 937.73 = 214.40 : x
  2. Step 2: Convert to fraction form
    624.97/937.73 = 214.40/x
  3. Step 3: Cross multiply
    624.97x = 937.73 × 214.40
  4. Step 4: Simplify right side
    624.97x = 201,045.71
  5. Step 5: Solve for x
    x = 201,045.71/624.97
  6. Step 6: Final answer
    x = 321.69

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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.