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Finding the Fourth Proportional to 369.78, 509.41 and 259.05

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Solution

The fourth proportional to 369.78, 509.41 and 259.05 is: 356.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.78 : 509.41 = 259.05 : x
  2. Step 2: Convert to fraction form
    369.78/509.41 = 259.05/x
  3. Step 3: Cross multiply
    369.78x = 509.41 × 259.05
  4. Step 4: Simplify right side
    369.78x = 131,962.66
  5. Step 5: Solve for x
    x = 131,962.66/369.78
  6. Step 6: Final answer
    x = 356.87

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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.