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Finding the Fourth Proportional to 237.78, 330.06 and 232.02

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Solution

The fourth proportional to 237.78, 330.06 and 232.02 is: 322.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.78 : 330.06 = 232.02 : x
  2. Step 2: Convert to fraction form
    237.78/330.06 = 232.02/x
  3. Step 3: Cross multiply
    237.78x = 330.06 × 232.02
  4. Step 4: Simplify right side
    237.78x = 76,580.52
  5. Step 5: Solve for x
    x = 76,580.52/237.78
  6. Step 6: Final answer
    x = 322.06

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.