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Finding the Fourth Proportional to 380.94, 568.41 and 357.72

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Solution

The fourth proportional to 380.94, 568.41 and 357.72 is: 533.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.94 : 568.41 = 357.72 : x
  2. Step 2: Convert to fraction form
    380.94/568.41 = 357.72/x
  3. Step 3: Cross multiply
    380.94x = 568.41 × 357.72
  4. Step 4: Simplify right side
    380.94x = 203,331.63
  5. Step 5: Solve for x
    x = 203,331.63/380.94
  6. Step 6: Final answer
    x = 533.76

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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.