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Finding the Fourth Proportional to 286.73, 395.69 and 155.74

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Solution

The fourth proportional to 286.73, 395.69 and 155.74 is: 214.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.73 : 395.69 = 155.74 : x
  2. Step 2: Convert to fraction form
    286.73/395.69 = 155.74/x
  3. Step 3: Cross multiply
    286.73x = 395.69 × 155.74
  4. Step 4: Simplify right side
    286.73x = 61,624.76
  5. Step 5: Solve for x
    x = 61,624.76/286.73
  6. Step 6: Final answer
    x = 214.92

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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.