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Finding the Fourth Proportional to 380.39, 573.00 and 357.34

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Solution

The fourth proportional to 380.39, 573.00 and 357.34 is: 538.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.39 : 573.00 = 357.34 : x
  2. Step 2: Convert to fraction form
    380.39/573.00 = 357.34/x
  3. Step 3: Cross multiply
    380.39x = 573.00 × 357.34
  4. Step 4: Simplify right side
    380.39x = 204,751.17
  5. Step 5: Solve for x
    x = 204,751.17/380.39
  6. Step 6: Final answer
    x = 538.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.