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Finding the Fourth Proportional to 237.02, 328.61 and 229.41

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Solution

The fourth proportional to 237.02, 328.61 and 229.41 is: 318.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.02 : 328.61 = 229.41 : x
  2. Step 2: Convert to fraction form
    237.02/328.61 = 229.41/x
  3. Step 3: Cross multiply
    237.02x = 328.61 × 229.41
  4. Step 4: Simplify right side
    237.02x = 75,385.27
  5. Step 5: Solve for x
    x = 75,385.27/237.02
  6. Step 6: Final answer
    x = 318.06

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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.