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Finding the Fourth Proportional to 190.23, 283.58 and 182.13

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Solution

The fourth proportional to 190.23, 283.58 and 182.13 is: 271.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.23 : 283.58 = 182.13 : x
  2. Step 2: Convert to fraction form
    190.23/283.58 = 182.13/x
  3. Step 3: Cross multiply
    190.23x = 283.58 × 182.13
  4. Step 4: Simplify right side
    190.23x = 51,647.51
  5. Step 5: Solve for x
    x = 51,647.51/190.23
  6. Step 6: Final answer
    x = 271.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.