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Finding the Fourth Proportional to 316.39, 473.46 and 276.25

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Solution

The fourth proportional to 316.39, 473.46 and 276.25 is: 413.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.39 : 473.46 = 276.25 : x
  2. Step 2: Convert to fraction form
    316.39/473.46 = 276.25/x
  3. Step 3: Cross multiply
    316.39x = 473.46 × 276.25
  4. Step 4: Simplify right side
    316.39x = 130,793.33
  5. Step 5: Solve for x
    x = 130,793.33/316.39
  6. Step 6: Final answer
    x = 413.39

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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.