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Finding the Fourth Proportional to 413.43, 619.78 and 156.75

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Solution

The fourth proportional to 413.43, 619.78 and 156.75 is: 234.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.43 : 619.78 = 156.75 : x
  2. Step 2: Convert to fraction form
    413.43/619.78 = 156.75/x
  3. Step 3: Cross multiply
    413.43x = 619.78 × 156.75
  4. Step 4: Simplify right side
    413.43x = 97,150.52
  5. Step 5: Solve for x
    x = 97,150.52/413.43
  6. Step 6: Final answer
    x = 234.99

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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.