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Finding the Fourth Proportional to 412.23, 616.73 and 371.19

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Solution

The fourth proportional to 412.23, 616.73 and 371.19 is: 555.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.23 : 616.73 = 371.19 : x
  2. Step 2: Convert to fraction form
    412.23/616.73 = 371.19/x
  3. Step 3: Cross multiply
    412.23x = 616.73 × 371.19
  4. Step 4: Simplify right side
    412.23x = 228,922.15
  5. Step 5: Solve for x
    x = 228,922.15/412.23
  6. Step 6: Final answer
    x = 555.33

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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.