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Finding the Fourth Proportional to 286.45, 395.31 and 155.47

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Solution

The fourth proportional to 286.45, 395.31 and 155.47 is: 214.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.45 : 395.31 = 155.47 : x
  2. Step 2: Convert to fraction form
    286.45/395.31 = 155.47/x
  3. Step 3: Cross multiply
    286.45x = 395.31 × 155.47
  4. Step 4: Simplify right side
    286.45x = 61,459.18
  5. Step 5: Solve for x
    x = 61,459.18/286.45
  6. Step 6: Final answer
    x = 214.55

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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.