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Finding the Fourth Proportional to 380.37, 572.80 and 342.30

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Solution

The fourth proportional to 380.37, 572.80 and 342.30 is: 515.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.37 : 572.80 = 342.30 : x
  2. Step 2: Convert to fraction form
    380.37/572.80 = 342.30/x
  3. Step 3: Cross multiply
    380.37x = 572.80 × 342.30
  4. Step 4: Simplify right side
    380.37x = 196,069.44
  5. Step 5: Solve for x
    x = 196,069.44/380.37
  6. Step 6: Final answer
    x = 515.47

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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.