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Finding the Fourth Proportional to 572.05, 858.06 and 206.80

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Solution

The fourth proportional to 572.05, 858.06 and 206.80 is: 310.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.05 : 858.06 = 206.80 : x
  2. Step 2: Convert to fraction form
    572.05/858.06 = 206.80/x
  3. Step 3: Cross multiply
    572.05x = 858.06 × 206.80
  4. Step 4: Simplify right side
    572.05x = 177,446.81
  5. Step 5: Solve for x
    x = 177,446.81/572.05
  6. Step 6: Final answer
    x = 310.19

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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.