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Finding the Fourth Proportional to 412.03, 567.65 and 338.81

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Solution

The fourth proportional to 412.03, 567.65 and 338.81 is: 466.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.03 : 567.65 = 338.81 : x
  2. Step 2: Convert to fraction form
    412.03/567.65 = 338.81/x
  3. Step 3: Cross multiply
    412.03x = 567.65 × 338.81
  4. Step 4: Simplify right side
    412.03x = 192,327.76
  5. Step 5: Solve for x
    x = 192,327.76/412.03
  6. Step 6: Final answer
    x = 466.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.