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Finding the Fourth Proportional to 287.93, 397.26 and 182.84

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Solution

The fourth proportional to 287.93, 397.26 and 182.84 is: 252.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.93 : 397.26 = 182.84 : x
  2. Step 2: Convert to fraction form
    287.93/397.26 = 182.84/x
  3. Step 3: Cross multiply
    287.93x = 397.26 × 182.84
  4. Step 4: Simplify right side
    287.93x = 72,633.03
  5. Step 5: Solve for x
    x = 72,633.03/287.93
  6. Step 6: Final answer
    x = 252.26

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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.