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Finding the Fourth Proportional to 380.40, 567.27 and 376.94

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Solution

The fourth proportional to 380.40, 567.27 and 376.94 is: 562.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.40 : 567.27 = 376.94 : x
  2. Step 2: Convert to fraction form
    380.40/567.27 = 376.94/x
  3. Step 3: Cross multiply
    380.40x = 567.27 × 376.94
  4. Step 4: Simplify right side
    380.40x = 213,825.52
  5. Step 5: Solve for x
    x = 213,825.52/380.40
  6. Step 6: Final answer
    x = 562.10

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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.