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Finding the Fourth Proportional to 235.37, 351.74 and 189.50

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Solution

The fourth proportional to 235.37, 351.74 and 189.50 is: 283.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.37 : 351.74 = 189.50 : x
  2. Step 2: Convert to fraction form
    235.37/351.74 = 189.50/x
  3. Step 3: Cross multiply
    235.37x = 351.74 × 189.50
  4. Step 4: Simplify right side
    235.37x = 66,652.02
  5. Step 5: Solve for x
    x = 66,652.02/235.37
  6. Step 6: Final answer
    x = 283.19

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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.