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Finding the Fourth Proportional to 412.54, 616.51 and 308.66

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Solution

The fourth proportional to 412.54, 616.51 and 308.66 is: 461.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.54 : 616.51 = 308.66 : x
  2. Step 2: Convert to fraction form
    412.54/616.51 = 308.66/x
  3. Step 3: Cross multiply
    412.54x = 616.51 × 308.66
  4. Step 4: Simplify right side
    412.54x = 190,292.75
  5. Step 5: Solve for x
    x = 190,292.75/412.54
  6. Step 6: Final answer
    x = 461.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.