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Finding the Fourth Proportional to 340.80, 509.19 and 262.26

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Solution

The fourth proportional to 340.80, 509.19 and 262.26 is: 391.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.80 : 509.19 = 262.26 : x
  2. Step 2: Convert to fraction form
    340.80/509.19 = 262.26/x
  3. Step 3: Cross multiply
    340.80x = 509.19 × 262.26
  4. Step 4: Simplify right side
    340.80x = 133,540.17
  5. Step 5: Solve for x
    x = 133,540.17/340.80
  6. Step 6: Final answer
    x = 391.84

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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.