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Finding the Fourth Proportional to 190.68, 287.58 and 188.64

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Solution

The fourth proportional to 190.68, 287.58 and 188.64 is: 284.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.68 : 287.58 = 188.64 : x
  2. Step 2: Convert to fraction form
    190.68/287.58 = 188.64/x
  3. Step 3: Cross multiply
    190.68x = 287.58 × 188.64
  4. Step 4: Simplify right side
    190.68x = 54,249.09
  5. Step 5: Solve for x
    x = 54,249.09/190.68
  6. Step 6: Final answer
    x = 284.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.