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Finding the Fourth Proportional to 238.51, 357.23 and 135.73

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Solution

The fourth proportional to 238.51, 357.23 and 135.73 is: 203.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.51 : 357.23 = 135.73 : x
  2. Step 2: Convert to fraction form
    238.51/357.23 = 135.73/x
  3. Step 3: Cross multiply
    238.51x = 357.23 × 135.73
  4. Step 4: Simplify right side
    238.51x = 48,484.36
  5. Step 5: Solve for x
    x = 48,484.36/238.51
  6. Step 6: Final answer
    x = 203.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.