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Finding the Fourth Proportional to 552.20, 761.67 and 365.67

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Solution

The fourth proportional to 552.20, 761.67 and 365.67 is: 504.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.20 : 761.67 = 365.67 : x
  2. Step 2: Convert to fraction form
    552.20/761.67 = 365.67/x
  3. Step 3: Cross multiply
    552.20x = 761.67 × 365.67
  4. Step 4: Simplify right side
    552.20x = 278,519.87
  5. Step 5: Solve for x
    x = 278,519.87/552.20
  6. Step 6: Final answer
    x = 504.39

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.