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Finding the Fourth Proportional to 238.69, 357.93 and 82.53

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Solution

The fourth proportional to 238.69, 357.93 and 82.53 is: 123.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.69 : 357.93 = 82.53 : x
  2. Step 2: Convert to fraction form
    238.69/357.93 = 82.53/x
  3. Step 3: Cross multiply
    238.69x = 357.93 × 82.53
  4. Step 4: Simplify right side
    238.69x = 29,539.96
  5. Step 5: Solve for x
    x = 29,539.96/238.69
  6. Step 6: Final answer
    x = 123.76

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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.