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Finding the Fourth Proportional to 389.73, 586.04 and 359.49

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Solution

The fourth proportional to 389.73, 586.04 and 359.49 is: 540.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.73 : 586.04 = 359.49 : x
  2. Step 2: Convert to fraction form
    389.73/586.04 = 359.49/x
  3. Step 3: Cross multiply
    389.73x = 586.04 × 359.49
  4. Step 4: Simplify right side
    389.73x = 210,673.72
  5. Step 5: Solve for x
    x = 210,673.72/389.73
  6. Step 6: Final answer
    x = 540.56

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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.