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Finding the Fourth Proportional to 289.49, 399.79 and 206.77

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Solution

The fourth proportional to 289.49, 399.79 and 206.77 is: 285.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.49 : 399.79 = 206.77 : x
  2. Step 2: Convert to fraction form
    289.49/399.79 = 206.77/x
  3. Step 3: Cross multiply
    289.49x = 399.79 × 206.77
  4. Step 4: Simplify right side
    289.49x = 82,663.42
  5. Step 5: Solve for x
    x = 82,663.42/289.49
  6. Step 6: Final answer
    x = 285.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.