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Finding the Fourth Proportional to 206.48, 307.92 and 194.24

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Solution

The fourth proportional to 206.48, 307.92 and 194.24 is: 289.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.48 : 307.92 = 194.24 : x
  2. Step 2: Convert to fraction form
    206.48/307.92 = 194.24/x
  3. Step 3: Cross multiply
    206.48x = 307.92 × 194.24
  4. Step 4: Simplify right side
    206.48x = 59,810.38
  5. Step 5: Solve for x
    x = 59,810.38/206.48
  6. Step 6: Final answer
    x = 289.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.