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Finding the Fourth Proportional to 591, 886.50 and 206.28

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Solution

The fourth proportional to 591, 886.50 and 206.28 is: 309.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    591 : 886.50 = 206.28 : x
  2. Step 2: Convert to fraction form
    591/886.50 = 206.28/x
  3. Step 3: Cross multiply
    591x = 886.50 × 206.28
  4. Step 4: Simplify right side
    591x = 182,867.22
  5. Step 5: Solve for x
    x = 182,867.22/591
  6. Step 6: Final answer
    x = 309.42

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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.