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Finding the Fourth Proportional to 286.64, 395.57 and 155.66

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Solution

The fourth proportional to 286.64, 395.57 and 155.66 is: 214.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.64 : 395.57 = 155.66 : x
  2. Step 2: Convert to fraction form
    286.64/395.57 = 155.66/x
  3. Step 3: Cross multiply
    286.64x = 395.57 × 155.66
  4. Step 4: Simplify right side
    286.64x = 61,572.84
  5. Step 5: Solve for x
    x = 61,572.84/286.64
  6. Step 6: Final answer
    x = 214.81

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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.