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Finding the Fourth Proportional to 314.75, 474.01 and 274.66

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Solution

The fourth proportional to 314.75, 474.01 and 274.66 is: 413.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.75 : 474.01 = 274.66 : x
  2. Step 2: Convert to fraction form
    314.75/474.01 = 274.66/x
  3. Step 3: Cross multiply
    314.75x = 474.01 × 274.66
  4. Step 4: Simplify right side
    314.75x = 130,189.71
  5. Step 5: Solve for x
    x = 130,189.71/314.75
  6. Step 6: Final answer
    x = 413.63

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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.