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Finding the Fourth Proportional to 566.80, 850.08 and 155.91

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Solution

The fourth proportional to 566.80, 850.08 and 155.91 is: 233.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.80 : 850.08 = 155.91 : x
  2. Step 2: Convert to fraction form
    566.80/850.08 = 155.91/x
  3. Step 3: Cross multiply
    566.80x = 850.08 × 155.91
  4. Step 4: Simplify right side
    566.80x = 132,535.97
  5. Step 5: Solve for x
    x = 132,535.97/566.80
  6. Step 6: Final answer
    x = 233.83

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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.