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Finding the Fourth Proportional to 389.60, 584.67 and 146.33

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Solution

The fourth proportional to 389.60, 584.67 and 146.33 is: 219.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.60 : 584.67 = 146.33 : x
  2. Step 2: Convert to fraction form
    389.60/584.67 = 146.33/x
  3. Step 3: Cross multiply
    389.60x = 584.67 × 146.33
  4. Step 4: Simplify right side
    389.60x = 85,554.76
  5. Step 5: Solve for x
    x = 85,554.76/389.60
  6. Step 6: Final answer
    x = 219.60

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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.