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Finding the Fourth Proportional to 410.67, 618.44 and 357.21

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Solution

The fourth proportional to 410.67, 618.44 and 357.21 is: 537.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.67 : 618.44 = 357.21 : x
  2. Step 2: Convert to fraction form
    410.67/618.44 = 357.21/x
  3. Step 3: Cross multiply
    410.67x = 618.44 × 357.21
  4. Step 4: Simplify right side
    410.67x = 220,911.17
  5. Step 5: Solve for x
    x = 220,911.17/410.67
  6. Step 6: Final answer
    x = 537.93

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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.