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Finding the Fourth Proportional to 412.26, 618.38 and 257.64

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Solution

The fourth proportional to 412.26, 618.38 and 257.64 is: 386.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.26 : 618.38 = 257.64 : x
  2. Step 2: Convert to fraction form
    412.26/618.38 = 257.64/x
  3. Step 3: Cross multiply
    412.26x = 618.38 × 257.64
  4. Step 4: Simplify right side
    412.26x = 159,318.14
  5. Step 5: Solve for x
    x = 159,318.14/412.26
  6. Step 6: Final answer
    x = 386.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.