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Finding the Fourth Proportional to 410.08, 618.24 and 382.24

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Solution

The fourth proportional to 410.08, 618.24 and 382.24 is: 576.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.08 : 618.24 = 382.24 : x
  2. Step 2: Convert to fraction form
    410.08/618.24 = 382.24/x
  3. Step 3: Cross multiply
    410.08x = 618.24 × 382.24
  4. Step 4: Simplify right side
    410.08x = 236,316.06
  5. Step 5: Solve for x
    x = 236,316.06/410.08
  6. Step 6: Final answer
    x = 576.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.