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Finding the Fourth Proportional to 624.30, 936.57 and 213.40

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Solution

The fourth proportional to 624.30, 936.57 and 213.40 is: 320.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.30 : 936.57 = 213.40 : x
  2. Step 2: Convert to fraction form
    624.30/936.57 = 213.40/x
  3. Step 3: Cross multiply
    624.30x = 936.57 × 213.40
  4. Step 4: Simplify right side
    624.30x = 199,862.97
  5. Step 5: Solve for x
    x = 199,862.97/624.30
  6. Step 6: Final answer
    x = 320.14

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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.