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Finding the Fourth Proportional to 248.40, 341.20 and 204.64

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Solution

The fourth proportional to 248.40, 341.20 and 204.64 is: 281.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.40 : 341.20 = 204.64 : x
  2. Step 2: Convert to fraction form
    248.40/341.20 = 204.64/x
  3. Step 3: Cross multiply
    248.40x = 341.20 × 204.64
  4. Step 4: Simplify right side
    248.40x = 69,823.17
  5. Step 5: Solve for x
    x = 69,823.17/248.40
  6. Step 6: Final answer
    x = 281.09

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.