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Finding the Fourth Proportional to 572.06, 857.87 and 206.66

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Solution

The fourth proportional to 572.06, 857.87 and 206.66 is: 309.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.06 : 857.87 = 206.66 : x
  2. Step 2: Convert to fraction form
    572.06/857.87 = 206.66/x
  3. Step 3: Cross multiply
    572.06x = 857.87 × 206.66
  4. Step 4: Simplify right side
    572.06x = 177,287.41
  5. Step 5: Solve for x
    x = 177,287.41/572.06
  6. Step 6: Final answer
    x = 309.91

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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.