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Finding the Fourth Proportional to 389.69, 584.83 and 158.67

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Solution

The fourth proportional to 389.69, 584.83 and 158.67 is: 238.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.69 : 584.83 = 158.67 : x
  2. Step 2: Convert to fraction form
    389.69/584.83 = 158.67/x
  3. Step 3: Cross multiply
    389.69x = 584.83 × 158.67
  4. Step 4: Simplify right side
    389.69x = 92,792.98
  5. Step 5: Solve for x
    x = 92,792.98/389.69
  6. Step 6: Final answer
    x = 238.12

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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.