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Finding the Fourth Proportional to 369.83, 509.91 and 338.73

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Solution

The fourth proportional to 369.83, 509.91 and 338.73 is: 467.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.83 : 509.91 = 338.73 : x
  2. Step 2: Convert to fraction form
    369.83/509.91 = 338.73/x
  3. Step 3: Cross multiply
    369.83x = 509.91 × 338.73
  4. Step 4: Simplify right side
    369.83x = 172,721.81
  5. Step 5: Solve for x
    x = 172,721.81/369.83
  6. Step 6: Final answer
    x = 467.04

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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.