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Finding the Fourth Proportional to 389.94, 583.85 and 252.65

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Solution

The fourth proportional to 389.94, 583.85 and 252.65 is: 378.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.94 : 583.85 = 252.65 : x
  2. Step 2: Convert to fraction form
    389.94/583.85 = 252.65/x
  3. Step 3: Cross multiply
    389.94x = 583.85 × 252.65
  4. Step 4: Simplify right side
    389.94x = 147,505.52
  5. Step 5: Solve for x
    x = 147,505.52/389.94
  6. Step 6: Final answer
    x = 378.28

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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.