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Finding the Fourth Proportional to 571.29, 856.92 and 138.45

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Solution

The fourth proportional to 571.29, 856.92 and 138.45 is: 207.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.29 : 856.92 = 138.45 : x
  2. Step 2: Convert to fraction form
    571.29/856.92 = 138.45/x
  3. Step 3: Cross multiply
    571.29x = 856.92 × 138.45
  4. Step 4: Simplify right side
    571.29x = 118,636.29
  5. Step 5: Solve for x
    x = 118,636.29/571.29
  6. Step 6: Final answer
    x = 207.67

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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.