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Finding the Fourth Proportional to 275.39, 413.12 and 102.03

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Solution

The fourth proportional to 275.39, 413.12 and 102.03 is: 153.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.39 : 413.12 = 102.03 : x
  2. Step 2: Convert to fraction form
    275.39/413.12 = 102.03/x
  3. Step 3: Cross multiply
    275.39x = 413.12 × 102.03
  4. Step 4: Simplify right side
    275.39x = 42,150.12
  5. Step 5: Solve for x
    x = 42,150.12/275.39
  6. Step 6: Final answer
    x = 153.06

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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.