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Finding the Fourth Proportional to 380.59, 574.01 and 368.27

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Solution

The fourth proportional to 380.59, 574.01 and 368.27 is: 555.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.59 : 574.01 = 368.27 : x
  2. Step 2: Convert to fraction form
    380.59/574.01 = 368.27/x
  3. Step 3: Cross multiply
    380.59x = 574.01 × 368.27
  4. Step 4: Simplify right side
    380.59x = 211,390.66
  5. Step 5: Solve for x
    x = 211,390.66/380.59
  6. Step 6: Final answer
    x = 555.43

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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.