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Finding the Fourth Proportional to 509.86, 764.76 and 185.28

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Solution

The fourth proportional to 509.86, 764.76 and 185.28 is: 277.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.86 : 764.76 = 185.28 : x
  2. Step 2: Convert to fraction form
    509.86/764.76 = 185.28/x
  3. Step 3: Cross multiply
    509.86x = 764.76 × 185.28
  4. Step 4: Simplify right side
    509.86x = 141,694.73
  5. Step 5: Solve for x
    x = 141,694.73/509.86
  6. Step 6: Final answer
    x = 277.91

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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.