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Finding the Fourth Proportional to 190.96, 287.47 and 164.50

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Solution

The fourth proportional to 190.96, 287.47 and 164.50 is: 247.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.96 : 287.47 = 164.50 : x
  2. Step 2: Convert to fraction form
    190.96/287.47 = 164.50/x
  3. Step 3: Cross multiply
    190.96x = 287.47 × 164.50
  4. Step 4: Simplify right side
    190.96x = 47,288.82
  5. Step 5: Solve for x
    x = 47,288.82/190.96
  6. Step 6: Final answer
    x = 247.64

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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.