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Finding the Fourth Proportional to 190.24, 286.84 and 174.24

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Solution

The fourth proportional to 190.24, 286.84 and 174.24 is: 262.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.24 : 286.84 = 174.24 : x
  2. Step 2: Convert to fraction form
    190.24/286.84 = 174.24/x
  3. Step 3: Cross multiply
    190.24x = 286.84 × 174.24
  4. Step 4: Simplify right side
    190.24x = 49,979.00
  5. Step 5: Solve for x
    x = 49,979.00/190.24
  6. Step 6: Final answer
    x = 262.72

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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.