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Finding the Fourth Proportional to 405.68, 610.85 and 298.22

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Solution

The fourth proportional to 405.68, 610.85 and 298.22 is: 449.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.68 : 610.85 = 298.22 : x
  2. Step 2: Convert to fraction form
    405.68/610.85 = 298.22/x
  3. Step 3: Cross multiply
    405.68x = 610.85 × 298.22
  4. Step 4: Simplify right side
    405.68x = 182,167.69
  5. Step 5: Solve for x
    x = 182,167.69/405.68
  6. Step 6: Final answer
    x = 449.04

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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.