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Finding the Fourth Proportional to 389.99, 584.21 and 235.45

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Solution

The fourth proportional to 389.99, 584.21 and 235.45 is: 352.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.99 : 584.21 = 235.45 : x
  2. Step 2: Convert to fraction form
    389.99/584.21 = 235.45/x
  3. Step 3: Cross multiply
    389.99x = 584.21 × 235.45
  4. Step 4: Simplify right side
    389.99x = 137,552.24
  5. Step 5: Solve for x
    x = 137,552.24/389.99
  6. Step 6: Final answer
    x = 352.71

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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.