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Finding the Fourth Proportional to 412.78, 569.44 and 246.94

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Solution

The fourth proportional to 412.78, 569.44 and 246.94 is: 340.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.78 : 569.44 = 246.94 : x
  2. Step 2: Convert to fraction form
    412.78/569.44 = 246.94/x
  3. Step 3: Cross multiply
    412.78x = 569.44 × 246.94
  4. Step 4: Simplify right side
    412.78x = 140,617.51
  5. Step 5: Solve for x
    x = 140,617.51/412.78
  6. Step 6: Final answer
    x = 340.66

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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.