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Finding the Fourth Proportional to 389.08, 580.85 and 337.48

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Solution

The fourth proportional to 389.08, 580.85 and 337.48 is: 503.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.08 : 580.85 = 337.48 : x
  2. Step 2: Convert to fraction form
    389.08/580.85 = 337.48/x
  3. Step 3: Cross multiply
    389.08x = 580.85 × 337.48
  4. Step 4: Simplify right side
    389.08x = 196,025.26
  5. Step 5: Solve for x
    x = 196,025.26/389.08
  6. Step 6: Final answer
    x = 503.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.