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Finding the Fourth Proportional to 624.13, 936.25 and 213.10

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Solution

The fourth proportional to 624.13, 936.25 and 213.10 is: 319.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.13 : 936.25 = 213.10 : x
  2. Step 2: Convert to fraction form
    624.13/936.25 = 213.10/x
  3. Step 3: Cross multiply
    624.13x = 936.25 × 213.10
  4. Step 4: Simplify right side
    624.13x = 199,514.34
  5. Step 5: Solve for x
    x = 199,514.34/624.13
  6. Step 6: Final answer
    x = 319.67

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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.