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Finding the Fourth Proportional to 572.18, 857.77 and 206.72

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Solution

The fourth proportional to 572.18, 857.77 and 206.72 is: 309.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.18 : 857.77 = 206.72 : x
  2. Step 2: Convert to fraction form
    572.18/857.77 = 206.72/x
  3. Step 3: Cross multiply
    572.18x = 857.77 × 206.72
  4. Step 4: Simplify right side
    572.18x = 177,317.79
  5. Step 5: Solve for x
    x = 177,317.79/572.18
  6. Step 6: Final answer
    x = 309.90

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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.