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Finding the Fourth Proportional to 238.53, 355.76 and 205.64

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Solution

The fourth proportional to 238.53, 355.76 and 205.64 is: 306.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.53 : 355.76 = 205.64 : x
  2. Step 2: Convert to fraction form
    238.53/355.76 = 205.64/x
  3. Step 3: Cross multiply
    238.53x = 355.76 × 205.64
  4. Step 4: Simplify right side
    238.53x = 73,157.22
  5. Step 5: Solve for x
    x = 73,157.22/238.53
  6. Step 6: Final answer
    x = 306.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.