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Finding the Fourth Proportional to 237.76, 328.04 and 143.19

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Solution

The fourth proportional to 237.76, 328.04 and 143.19 is: 197.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.76 : 328.04 = 143.19 : x
  2. Step 2: Convert to fraction form
    237.76/328.04 = 143.19/x
  3. Step 3: Cross multiply
    237.76x = 328.04 × 143.19
  4. Step 4: Simplify right side
    237.76x = 46,971.33
  5. Step 5: Solve for x
    x = 46,971.33/237.76
  6. Step 6: Final answer
    x = 197.56

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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.