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Finding the Fourth Proportional to 238.96, 330.08 and 192.50

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Solution

The fourth proportional to 238.96, 330.08 and 192.50 is: 265.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.96 : 330.08 = 192.50 : x
  2. Step 2: Convert to fraction form
    238.96/330.08 = 192.50/x
  3. Step 3: Cross multiply
    238.96x = 330.08 × 192.50
  4. Step 4: Simplify right side
    238.96x = 63,539.02
  5. Step 5: Solve for x
    x = 63,539.02/238.96
  6. Step 6: Final answer
    x = 265.90

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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.