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Finding the Fourth Proportional to 237.75, 358.46 and 190.23

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Solution

The fourth proportional to 237.75, 358.46 and 190.23 is: 286.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.75 : 358.46 = 190.23 : x
  2. Step 2: Convert to fraction form
    237.75/358.46 = 190.23/x
  3. Step 3: Cross multiply
    237.75x = 358.46 × 190.23
  4. Step 4: Simplify right side
    237.75x = 68,190.32
  5. Step 5: Solve for x
    x = 68,190.32/237.75
  6. Step 6: Final answer
    x = 286.82

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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.