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Finding the Fourth Proportional to 412.11, 618.84 and 310.05

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Solution

The fourth proportional to 412.11, 618.84 and 310.05 is: 465.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.11 : 618.84 = 310.05 : x
  2. Step 2: Convert to fraction form
    412.11/618.84 = 310.05/x
  3. Step 3: Cross multiply
    412.11x = 618.84 × 310.05
  4. Step 4: Simplify right side
    412.11x = 191,871.34
  5. Step 5: Solve for x
    x = 191,871.34/412.11
  6. Step 6: Final answer
    x = 465.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.