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Finding the Fourth Proportional to 369.31, 509.91 and 245.23

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Solution

The fourth proportional to 369.31, 509.91 and 245.23 is: 338.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.31 : 509.91 = 245.23 : x
  2. Step 2: Convert to fraction form
    369.31/509.91 = 245.23/x
  3. Step 3: Cross multiply
    369.31x = 509.91 × 245.23
  4. Step 4: Simplify right side
    369.31x = 125,043.03
  5. Step 5: Solve for x
    x = 125,043.03/369.31
  6. Step 6: Final answer
    x = 338.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.