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Finding the Fourth Proportional to 412.72, 616.25 and 351.82

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Solution

The fourth proportional to 412.72, 616.25 and 351.82 is: 525.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.72 : 616.25 = 351.82 : x
  2. Step 2: Convert to fraction form
    412.72/616.25 = 351.82/x
  3. Step 3: Cross multiply
    412.72x = 616.25 × 351.82
  4. Step 4: Simplify right side
    412.72x = 216,809.08
  5. Step 5: Solve for x
    x = 216,809.08/412.72
  6. Step 6: Final answer
    x = 525.32

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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.