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Finding the Fourth Proportional to 389.00, 583.36 and 169.61

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Solution

The fourth proportional to 389.00, 583.36 and 169.61 is: 254.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.00 : 583.36 = 169.61 : x
  2. Step 2: Convert to fraction form
    389.00/583.36 = 169.61/x
  3. Step 3: Cross multiply
    389.00x = 583.36 × 169.61
  4. Step 4: Simplify right side
    389.00x = 98,944.72
  5. Step 5: Solve for x
    x = 98,944.72/389.00
  6. Step 6: Final answer
    x = 254.36

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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.