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Finding the Fourth Proportional to 341.25, 509.54 and 280.23

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Solution

The fourth proportional to 341.25, 509.54 and 280.23 is: 418.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.25 : 509.54 = 280.23 : x
  2. Step 2: Convert to fraction form
    341.25/509.54 = 280.23/x
  3. Step 3: Cross multiply
    341.25x = 509.54 × 280.23
  4. Step 4: Simplify right side
    341.25x = 142,789.09
  5. Step 5: Solve for x
    x = 142,789.09/341.25
  6. Step 6: Final answer
    x = 418.43

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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.