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Finding the Fourth Proportional to 412.64, 569.40 and 246.86

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Solution

The fourth proportional to 412.64, 569.40 and 246.86 is: 340.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.64 : 569.40 = 246.86 : x
  2. Step 2: Convert to fraction form
    412.64/569.40 = 246.86/x
  3. Step 3: Cross multiply
    412.64x = 569.40 × 246.86
  4. Step 4: Simplify right side
    412.64x = 140,562.08
  5. Step 5: Solve for x
    x = 140,562.08/412.64
  6. Step 6: Final answer
    x = 340.64

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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.