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Finding the Fourth Proportional to 314.78, 473.99 and 274.68

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Solution

The fourth proportional to 314.78, 473.99 and 274.68 is: 413.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.78 : 473.99 = 274.68 : x
  2. Step 2: Convert to fraction form
    314.78/473.99 = 274.68/x
  3. Step 3: Cross multiply
    314.78x = 473.99 × 274.68
  4. Step 4: Simplify right side
    314.78x = 130,194.20
  5. Step 5: Solve for x
    x = 130,194.20/314.78
  6. Step 6: Final answer
    x = 413.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.