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Finding the Fourth Proportional to 369.20, 509.16 and 252.80

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Solution

The fourth proportional to 369.20, 509.16 and 252.80 is: 348.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.20 : 509.16 = 252.80 : x
  2. Step 2: Convert to fraction form
    369.20/509.16 = 252.80/x
  3. Step 3: Cross multiply
    369.20x = 509.16 × 252.80
  4. Step 4: Simplify right side
    369.20x = 128,715.65
  5. Step 5: Solve for x
    x = 128,715.65/369.20
  6. Step 6: Final answer
    x = 348.63

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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.