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Finding the Fourth Proportional to 350.33, 524.48 and 213.64

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Solution

The fourth proportional to 350.33, 524.48 and 213.64 is: 319.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.33 : 524.48 = 213.64 : x
  2. Step 2: Convert to fraction form
    350.33/524.48 = 213.64/x
  3. Step 3: Cross multiply
    350.33x = 524.48 × 213.64
  4. Step 4: Simplify right side
    350.33x = 112,047.53
  5. Step 5: Solve for x
    x = 112,047.53/350.33
  6. Step 6: Final answer
    x = 319.84

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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.