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Finding the Fourth Proportional to 287.12, 396.12 and 183.68

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Solution

The fourth proportional to 287.12, 396.12 and 183.68 is: 253.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.12 : 396.12 = 183.68 : x
  2. Step 2: Convert to fraction form
    287.12/396.12 = 183.68/x
  3. Step 3: Cross multiply
    287.12x = 396.12 × 183.68
  4. Step 4: Simplify right side
    287.12x = 72,759.32
  5. Step 5: Solve for x
    x = 72,759.32/287.12
  6. Step 6: Final answer
    x = 253.41

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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.