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Finding the Fourth Proportional to 571.38, 856.24 and 311.16

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Solution

The fourth proportional to 571.38, 856.24 and 311.16 is: 466.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.38 : 856.24 = 311.16 : x
  2. Step 2: Convert to fraction form
    571.38/856.24 = 311.16/x
  3. Step 3: Cross multiply
    571.38x = 856.24 × 311.16
  4. Step 4: Simplify right side
    571.38x = 266,427.64
  5. Step 5: Solve for x
    x = 266,427.64/571.38
  6. Step 6: Final answer
    x = 466.29

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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.