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Finding the Fourth Proportional to 350.58, 523.74 and 278.52

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Solution

The fourth proportional to 350.58, 523.74 and 278.52 is: 416.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.58 : 523.74 = 278.52 : x
  2. Step 2: Convert to fraction form
    350.58/523.74 = 278.52/x
  3. Step 3: Cross multiply
    350.58x = 523.74 × 278.52
  4. Step 4: Simplify right side
    350.58x = 145,872.06
  5. Step 5: Solve for x
    x = 145,872.06/350.58
  6. Step 6: Final answer
    x = 416.09

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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.