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Finding the Fourth Proportional to 341.54, 509.53 and 280.48

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Solution

The fourth proportional to 341.54, 509.53 and 280.48 is: 418.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.54 : 509.53 = 280.48 : x
  2. Step 2: Convert to fraction form
    341.54/509.53 = 280.48/x
  3. Step 3: Cross multiply
    341.54x = 509.53 × 280.48
  4. Step 4: Simplify right side
    341.54x = 142,912.97
  5. Step 5: Solve for x
    x = 142,912.97/341.54
  6. Step 6: Final answer
    x = 418.44

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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.