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Finding the Fourth Proportional to 412.13, 567.95 and 301.64

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Solution

The fourth proportional to 412.13, 567.95 and 301.64 is: 415.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.13 : 567.95 = 301.64 : x
  2. Step 2: Convert to fraction form
    412.13/567.95 = 301.64/x
  3. Step 3: Cross multiply
    412.13x = 567.95 × 301.64
  4. Step 4: Simplify right side
    412.13x = 171,313.60
  5. Step 5: Solve for x
    x = 171,313.60/412.13
  6. Step 6: Final answer
    x = 415.68

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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.