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Finding the Fourth Proportional to 238, 356.64 and 160.80

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Solution

The fourth proportional to 238, 356.64 and 160.80 is: 240.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    238 : 356.64 = 160.80 : x
  2. Step 2: Convert to fraction form
    238/356.64 = 160.80/x
  3. Step 3: Cross multiply
    238x = 356.64 × 160.80
  4. Step 4: Simplify right side
    238x = 57,347.71
  5. Step 5: Solve for x
    x = 57,347.71/238
  6. Step 6: Final answer
    x = 240.96

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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.