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Finding the Fourth Proportional to 559.93, 839.78 and 213.14

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Solution

The fourth proportional to 559.93, 839.78 and 213.14 is: 319.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.93 : 839.78 = 213.14 : x
  2. Step 2: Convert to fraction form
    559.93/839.78 = 213.14/x
  3. Step 3: Cross multiply
    559.93x = 839.78 × 213.14
  4. Step 4: Simplify right side
    559.93x = 178,990.71
  5. Step 5: Solve for x
    x = 178,990.71/559.93
  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.