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Finding the Fourth Proportional to 412.18, 568.49 and 264.83

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Solution

The fourth proportional to 412.18, 568.49 and 264.83 is: 365.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.18 : 568.49 = 264.83 : x
  2. Step 2: Convert to fraction form
    412.18/568.49 = 264.83/x
  3. Step 3: Cross multiply
    412.18x = 568.49 × 264.83
  4. Step 4: Simplify right side
    412.18x = 150,549.04
  5. Step 5: Solve for x
    x = 150,549.04/412.18
  6. Step 6: Final answer
    x = 365.25

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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.