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Finding the Fourth Proportional to 410.68, 618.41 and 303.22

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Solution

The fourth proportional to 410.68, 618.41 and 303.22 is: 456.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.68 : 618.41 = 303.22 : x
  2. Step 2: Convert to fraction form
    410.68/618.41 = 303.22/x
  3. Step 3: Cross multiply
    410.68x = 618.41 × 303.22
  4. Step 4: Simplify right side
    410.68x = 187,514.28
  5. Step 5: Solve for x
    x = 187,514.28/410.68
  6. Step 6: Final answer
    x = 456.59

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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.