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Finding the Fourth Proportional to 286.55, 395.41 and 160.51

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Solution

The fourth proportional to 286.55, 395.41 and 160.51 is: 221.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.55 : 395.41 = 160.51 : x
  2. Step 2: Convert to fraction form
    286.55/395.41 = 160.51/x
  3. Step 3: Cross multiply
    286.55x = 395.41 × 160.51
  4. Step 4: Simplify right side
    286.55x = 63,467.17
  5. Step 5: Solve for x
    x = 63,467.17/286.55
  6. Step 6: Final answer
    x = 221.49

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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.