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Finding the Fourth Proportional to 571.25, 856.85 and 206.12

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Solution

The fourth proportional to 571.25, 856.85 and 206.12 is: 309.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.25 : 856.85 = 206.12 : x
  2. Step 2: Convert to fraction form
    571.25/856.85 = 206.12/x
  3. Step 3: Cross multiply
    571.25x = 856.85 × 206.12
  4. Step 4: Simplify right side
    571.25x = 176,608.61
  5. Step 5: Solve for x
    x = 176,608.61/571.25
  6. Step 6: Final answer
    x = 309.16

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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.