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Finding the Fourth Proportional to 389.24, 583.67 and 169.90

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Solution

The fourth proportional to 389.24, 583.67 and 169.90 is: 254.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.24 : 583.67 = 169.90 : x
  2. Step 2: Convert to fraction form
    389.24/583.67 = 169.90/x
  3. Step 3: Cross multiply
    389.24x = 583.67 × 169.90
  4. Step 4: Simplify right side
    389.24x = 99,164.50
  5. Step 5: Solve for x
    x = 99,164.50/389.24
  6. Step 6: Final answer
    x = 254.77

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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.