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Finding the Fourth Proportional to 509.92, 765.44 and 366.28

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Solution

The fourth proportional to 509.92, 765.44 and 366.28 is: 549.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.92 : 765.44 = 366.28 : x
  2. Step 2: Convert to fraction form
    509.92/765.44 = 366.28/x
  3. Step 3: Cross multiply
    509.92x = 765.44 × 366.28
  4. Step 4: Simplify right side
    509.92x = 280,365.36
  5. Step 5: Solve for x
    x = 280,365.36/509.92
  6. Step 6: Final answer
    x = 549.82

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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.