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Finding the Fourth Proportional to 389.38, 533.45 and 374.80

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Solution

The fourth proportional to 389.38, 533.45 and 374.80 is: 513.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.38 : 533.45 = 374.80 : x
  2. Step 2: Convert to fraction form
    389.38/533.45 = 374.80/x
  3. Step 3: Cross multiply
    389.38x = 533.45 × 374.80
  4. Step 4: Simplify right side
    389.38x = 199,937.06
  5. Step 5: Solve for x
    x = 199,937.06/389.38
  6. Step 6: Final answer
    x = 513.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.