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Finding the Fourth Proportional to 389.64, 584.24 and 146.20

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Solution

The fourth proportional to 389.64, 584.24 and 146.20 is: 219.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.64 : 584.24 = 146.20 : x
  2. Step 2: Convert to fraction form
    389.64/584.24 = 146.20/x
  3. Step 3: Cross multiply
    389.64x = 584.24 × 146.20
  4. Step 4: Simplify right side
    389.64x = 85,415.89
  5. Step 5: Solve for x
    x = 85,415.89/389.64
  6. Step 6: Final answer
    x = 219.22

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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.