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Finding the Fourth Proportional to 389.74, 583.24 and 235.56

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Solution

The fourth proportional to 389.74, 583.24 and 235.56 is: 352.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.74 : 583.24 = 235.56 : x
  2. Step 2: Convert to fraction form
    389.74/583.24 = 235.56/x
  3. Step 3: Cross multiply
    389.74x = 583.24 × 235.56
  4. Step 4: Simplify right side
    389.74x = 137,388.01
  5. Step 5: Solve for x
    x = 137,388.01/389.74
  6. Step 6: Final answer
    x = 352.51

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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.