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Finding the Fourth Proportional to 412.33, 569.01 and 225.83

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Solution

The fourth proportional to 412.33, 569.01 and 225.83 is: 311.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.33 : 569.01 = 225.83 : x
  2. Step 2: Convert to fraction form
    412.33/569.01 = 225.83/x
  3. Step 3: Cross multiply
    412.33x = 569.01 × 225.83
  4. Step 4: Simplify right side
    412.33x = 128,500.38
  5. Step 5: Solve for x
    x = 128,500.38/412.33
  6. Step 6: Final answer
    x = 311.65

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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.