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Finding the Fourth Proportional to 412.02, 568.31 and 246.20

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Solution

The fourth proportional to 412.02, 568.31 and 246.20 is: 339.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.02 : 568.31 = 246.20 : x
  2. Step 2: Convert to fraction form
    412.02/568.31 = 246.20/x
  3. Step 3: Cross multiply
    412.02x = 568.31 × 246.20
  4. Step 4: Simplify right side
    412.02x = 139,913.85
  5. Step 5: Solve for x
    x = 139,913.85/412.02
  6. Step 6: Final answer
    x = 339.58

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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.