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Finding the Fourth Proportional to 275.69, 413.52 and 138.59

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Solution

The fourth proportional to 275.69, 413.52 and 138.59 is: 207.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.69 : 413.52 = 138.59 : x
  2. Step 2: Convert to fraction form
    275.69/413.52 = 138.59/x
  3. Step 3: Cross multiply
    275.69x = 413.52 × 138.59
  4. Step 4: Simplify right side
    275.69x = 57,307.67
  5. Step 5: Solve for x
    x = 57,307.67/275.69
  6. Step 6: Final answer
    x = 207.87

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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.