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Finding the Fourth Proportional to 238.54, 359.57 and 218.04

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Solution

The fourth proportional to 238.54, 359.57 and 218.04 is: 328.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.54 : 359.57 = 218.04 : x
  2. Step 2: Convert to fraction form
    238.54/359.57 = 218.04/x
  3. Step 3: Cross multiply
    238.54x = 359.57 × 218.04
  4. Step 4: Simplify right side
    238.54x = 78,400.64
  5. Step 5: Solve for x
    x = 78,400.64/238.54
  6. Step 6: Final answer
    x = 328.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.