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Finding the Fourth Proportional to 389.57, 580.75 and 360.41

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Solution

The fourth proportional to 389.57, 580.75 and 360.41 is: 537.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.57 : 580.75 = 360.41 : x
  2. Step 2: Convert to fraction form
    389.57/580.75 = 360.41/x
  3. Step 3: Cross multiply
    389.57x = 580.75 × 360.41
  4. Step 4: Simplify right side
    389.57x = 209,306.31
  5. Step 5: Solve for x
    x = 209,306.31/389.57
  6. Step 6: Final answer
    x = 537.28

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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.