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Finding the Fourth Proportional to 591.26, 887.02 and 206.50

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Solution

The fourth proportional to 591.26, 887.02 and 206.50 is: 309.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.26 : 887.02 = 206.50 : x
  2. Step 2: Convert to fraction form
    591.26/887.02 = 206.50/x
  3. Step 3: Cross multiply
    591.26x = 887.02 × 206.50
  4. Step 4: Simplify right side
    591.26x = 183,169.63
  5. Step 5: Solve for x
    x = 183,169.63/591.26
  6. Step 6: Final answer
    x = 309.80

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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.