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Finding the Fourth Proportional to 275.35, 413.18 and 138.43

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Solution

The fourth proportional to 275.35, 413.18 and 138.43 is: 207.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.35 : 413.18 = 138.43 : x
  2. Step 2: Convert to fraction form
    275.35/413.18 = 138.43/x
  3. Step 3: Cross multiply
    275.35x = 413.18 × 138.43
  4. Step 4: Simplify right side
    275.35x = 57,196.51
  5. Step 5: Solve for x
    x = 57,196.51/275.35
  6. Step 6: Final answer
    x = 207.72

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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.