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Finding the Fourth Proportional to 237.54, 327.75 and 143.01

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Solution

The fourth proportional to 237.54, 327.75 and 143.01 is: 197.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.54 : 327.75 = 143.01 : x
  2. Step 2: Convert to fraction form
    237.54/327.75 = 143.01/x
  3. Step 3: Cross multiply
    237.54x = 327.75 × 143.01
  4. Step 4: Simplify right side
    237.54x = 46,871.53
  5. Step 5: Solve for x
    x = 46,871.53/237.54
  6. Step 6: Final answer
    x = 197.32

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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.