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Finding the Fourth Proportional to 412.85, 569.30 and 288.46

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Solution

The fourth proportional to 412.85, 569.30 and 288.46 is: 397.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.85 : 569.30 = 288.46 : x
  2. Step 2: Convert to fraction form
    412.85/569.30 = 288.46/x
  3. Step 3: Cross multiply
    412.85x = 569.30 × 288.46
  4. Step 4: Simplify right side
    412.85x = 164,221.98
  5. Step 5: Solve for x
    x = 164,221.98/412.85
  6. Step 6: Final answer
    x = 397.78

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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.