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Finding the Fourth Proportional to 208.36, 310.91 and 184.06

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Solution

The fourth proportional to 208.36, 310.91 and 184.06 is: 274.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.36 : 310.91 = 184.06 : x
  2. Step 2: Convert to fraction form
    208.36/310.91 = 184.06/x
  3. Step 3: Cross multiply
    208.36x = 310.91 × 184.06
  4. Step 4: Simplify right side
    208.36x = 57,226.09
  5. Step 5: Solve for x
    x = 57,226.09/208.36
  6. Step 6: Final answer
    x = 274.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.