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Finding the Fourth Proportional to 369.20, 509.20 and 344.36

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Solution

The fourth proportional to 369.20, 509.20 and 344.36 is: 474.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.20 : 509.20 = 344.36 : x
  2. Step 2: Convert to fraction form
    369.20/509.20 = 344.36/x
  3. Step 3: Cross multiply
    369.20x = 509.20 × 344.36
  4. Step 4: Simplify right side
    369.20x = 175,344.71
  5. Step 5: Solve for x
    x = 175,344.71/369.20
  6. Step 6: Final answer
    x = 474.94

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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.