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Finding the Fourth Proportional to 413.42, 567.41 and 378.23

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Solution

The fourth proportional to 413.42, 567.41 and 378.23 is: 519.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.42 : 567.41 = 378.23 : x
  2. Step 2: Convert to fraction form
    413.42/567.41 = 378.23/x
  3. Step 3: Cross multiply
    413.42x = 567.41 × 378.23
  4. Step 4: Simplify right side
    413.42x = 214,606.76
  5. Step 5: Solve for x
    x = 214,606.76/413.42
  6. Step 6: Final answer
    x = 519.10

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.