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Finding the Fourth Proportional to 275.98, 413.93 and 93.38

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Solution

The fourth proportional to 275.98, 413.93 and 93.38 is: 140.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.98 : 413.93 = 93.38 : x
  2. Step 2: Convert to fraction form
    275.98/413.93 = 93.38/x
  3. Step 3: Cross multiply
    275.98x = 413.93 × 93.38
  4. Step 4: Simplify right side
    275.98x = 38,650.25
  5. Step 5: Solve for x
    x = 38,650.25/275.98
  6. Step 6: Final answer
    x = 140.05

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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.