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Finding the Fourth Proportional to 276.44, 417.10 and 274.28

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Solution

The fourth proportional to 276.44, 417.10 and 274.28 is: 413.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.44 : 417.10 = 274.28 : x
  2. Step 2: Convert to fraction form
    276.44/417.10 = 274.28/x
  3. Step 3: Cross multiply
    276.44x = 417.10 × 274.28
  4. Step 4: Simplify right side
    276.44x = 114,402.19
  5. Step 5: Solve for x
    x = 114,402.19/276.44
  6. Step 6: Final answer
    x = 413.84

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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.