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Finding the Fourth Proportional to 410.68, 618.33 and 362.23

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Solution

The fourth proportional to 410.68, 618.33 and 362.23 is: 545.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.68 : 618.33 = 362.23 : x
  2. Step 2: Convert to fraction form
    410.68/618.33 = 362.23/x
  3. Step 3: Cross multiply
    410.68x = 618.33 × 362.23
  4. Step 4: Simplify right side
    410.68x = 223,975.45
  5. Step 5: Solve for x
    x = 223,975.45/410.68
  6. Step 6: Final answer
    x = 545.38

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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.