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Finding the Fourth Proportional to 571.42, 856.68 and 206.02

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Solution

The fourth proportional to 571.42, 856.68 and 206.02 is: 308.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.42 : 856.68 = 206.02 : x
  2. Step 2: Convert to fraction form
    571.42/856.68 = 206.02/x
  3. Step 3: Cross multiply
    571.42x = 856.68 × 206.02
  4. Step 4: Simplify right side
    571.42x = 176,493.21
  5. Step 5: Solve for x
    x = 176,493.21/571.42
  6. Step 6: Final answer
    x = 308.87

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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.