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Finding the Fourth Proportional to 236.71, 326.70 and 147.03

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Solution

The fourth proportional to 236.71, 326.70 and 147.03 is: 202.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.71 : 326.70 = 147.03 : x
  2. Step 2: Convert to fraction form
    236.71/326.70 = 147.03/x
  3. Step 3: Cross multiply
    236.71x = 326.70 × 147.03
  4. Step 4: Simplify right side
    236.71x = 48,034.70
  5. Step 5: Solve for x
    x = 48,034.70/236.71
  6. Step 6: Final answer
    x = 202.93

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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.