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Finding the Fourth Proportional to 237.23, 327.13 and 187.35

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Solution

The fourth proportional to 237.23, 327.13 and 187.35 is: 258.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.23 : 327.13 = 187.35 : x
  2. Step 2: Convert to fraction form
    237.23/327.13 = 187.35/x
  3. Step 3: Cross multiply
    237.23x = 327.13 × 187.35
  4. Step 4: Simplify right side
    237.23x = 61,286.87
  5. Step 5: Solve for x
    x = 61,286.87/237.23
  6. Step 6: Final answer
    x = 258.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.