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Finding the Fourth Proportional to 275.90, 413.86 and 83.50

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Solution

The fourth proportional to 275.90, 413.86 and 83.50 is: 125.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.90 : 413.86 = 83.50 : x
  2. Step 2: Convert to fraction form
    275.90/413.86 = 83.50/x
  3. Step 3: Cross multiply
    275.90x = 413.86 × 83.50
  4. Step 4: Simplify right side
    275.90x = 34,557.31
  5. Step 5: Solve for x
    x = 34,557.31/275.90
  6. Step 6: Final answer
    x = 125.25

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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.