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Finding the Fourth Proportional to 350.32, 524.32 and 338.02

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Solution

The fourth proportional to 350.32, 524.32 and 338.02 is: 505.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.32 : 524.32 = 338.02 : x
  2. Step 2: Convert to fraction form
    350.32/524.32 = 338.02/x
  3. Step 3: Cross multiply
    350.32x = 524.32 × 338.02
  4. Step 4: Simplify right side
    350.32x = 177,230.65
  5. Step 5: Solve for x
    x = 177,230.65/350.32
  6. Step 6: Final answer
    x = 505.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.