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Finding the Fourth Proportional to 275.93, 413.68 and 138.91

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Solution

The fourth proportional to 275.93, 413.68 and 138.91 is: 208.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.93 : 413.68 = 138.91 : x
  2. Step 2: Convert to fraction form
    275.93/413.68 = 138.91/x
  3. Step 3: Cross multiply
    275.93x = 413.68 × 138.91
  4. Step 4: Simplify right side
    275.93x = 57,464.29
  5. Step 5: Solve for x
    x = 57,464.29/275.93
  6. Step 6: Final answer
    x = 208.26

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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.