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Finding the Fourth Proportional to 389.50, 584.16 and 145.90

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Solution

The fourth proportional to 389.50, 584.16 and 145.90 is: 218.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.50 : 584.16 = 145.90 : x
  2. Step 2: Convert to fraction form
    389.50/584.16 = 145.90/x
  3. Step 3: Cross multiply
    389.50x = 584.16 × 145.90
  4. Step 4: Simplify right side
    389.50x = 85,228.94
  5. Step 5: Solve for x
    x = 85,228.94/389.50
  6. Step 6: Final answer
    x = 218.82

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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.