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Finding the Fourth Proportional to 412.64, 618.22 and 290.48

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Solution

The fourth proportional to 412.64, 618.22 and 290.48 is: 435.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.64 : 618.22 = 290.48 : x
  2. Step 2: Convert to fraction form
    412.64/618.22 = 290.48/x
  3. Step 3: Cross multiply
    412.64x = 618.22 × 290.48
  4. Step 4: Simplify right side
    412.64x = 179,580.55
  5. Step 5: Solve for x
    x = 179,580.55/412.64
  6. Step 6: Final answer
    x = 435.20

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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.