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Finding the Fourth Proportional to 300.31, 413.53 and 278.53

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Solution

The fourth proportional to 300.31, 413.53 and 278.53 is: 383.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.31 : 413.53 = 278.53 : x
  2. Step 2: Convert to fraction form
    300.31/413.53 = 278.53/x
  3. Step 3: Cross multiply
    300.31x = 413.53 × 278.53
  4. Step 4: Simplify right side
    300.31x = 115,180.51
  5. Step 5: Solve for x
    x = 115,180.51/300.31
  6. Step 6: Final answer
    x = 383.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.