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Finding the Fourth Proportional to 571.26, 856.95 and 224.76

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Solution

The fourth proportional to 571.26, 856.95 and 224.76 is: 337.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.26 : 856.95 = 224.76 : x
  2. Step 2: Convert to fraction form
    571.26/856.95 = 224.76/x
  3. Step 3: Cross multiply
    571.26x = 856.95 × 224.76
  4. Step 4: Simplify right side
    571.26x = 192,608.08
  5. Step 5: Solve for x
    x = 192,608.08/571.26
  6. Step 6: Final answer
    x = 337.16

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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.