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Finding the Fourth Proportional to 412.48, 569.42 and 282.17

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Solution

The fourth proportional to 412.48, 569.42 and 282.17 is: 389.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.48 : 569.42 = 282.17 : x
  2. Step 2: Convert to fraction form
    412.48/569.42 = 282.17/x
  3. Step 3: Cross multiply
    412.48x = 569.42 × 282.17
  4. Step 4: Simplify right side
    412.48x = 160,668.98
  5. Step 5: Solve for x
    x = 160,668.98/412.48
  6. Step 6: Final answer
    x = 389.52

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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.