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Finding the Fourth Proportional to 412.65, 569.57 and 246.83

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Solution

The fourth proportional to 412.65, 569.57 and 246.83 is: 340.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.65 : 569.57 = 246.83 : x
  2. Step 2: Convert to fraction form
    412.65/569.57 = 246.83/x
  3. Step 3: Cross multiply
    412.65x = 569.57 × 246.83
  4. Step 4: Simplify right side
    412.65x = 140,582.88
  5. Step 5: Solve for x
    x = 140,582.88/412.65
  6. Step 6: Final answer
    x = 340.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.