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Finding the Fourth Proportional to 413.33, 619.30 and 291.37

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Solution

The fourth proportional to 413.33, 619.30 and 291.37 is: 436.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.33 : 619.30 = 291.37 : x
  2. Step 2: Convert to fraction form
    413.33/619.30 = 291.37/x
  3. Step 3: Cross multiply
    413.33x = 619.30 × 291.37
  4. Step 4: Simplify right side
    413.33x = 180,445.44
  5. Step 5: Solve for x
    x = 180,445.44/413.33
  6. Step 6: Final answer
    x = 436.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.