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Finding the Fourth Proportional to 275.20, 413.40 and 235.10

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Solution

The fourth proportional to 275.20, 413.40 and 235.10 is: 353.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.20 : 413.40 = 235.10 : x
  2. Step 2: Convert to fraction form
    275.20/413.40 = 235.10/x
  3. Step 3: Cross multiply
    275.20x = 413.40 × 235.10
  4. Step 4: Simplify right side
    275.20x = 97,190.34
  5. Step 5: Solve for x
    x = 97,190.34/275.20
  6. Step 6: Final answer
    x = 353.17

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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.