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Finding the Fourth Proportional to 277.16, 417.71 and 274.41

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Solution

The fourth proportional to 277.16, 417.71 and 274.41 is: 413.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.16 : 417.71 = 274.41 : x
  2. Step 2: Convert to fraction form
    277.16/417.71 = 274.41/x
  3. Step 3: Cross multiply
    277.16x = 417.71 × 274.41
  4. Step 4: Simplify right side
    277.16x = 114,624.49
  5. Step 5: Solve for x
    x = 114,624.49/277.16
  6. Step 6: Final answer
    x = 413.58

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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.