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Finding the Fourth Proportional to 208.95, 314.66 and 182.22

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Solution

The fourth proportional to 208.95, 314.66 and 182.22 is: 274.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.95 : 314.66 = 182.22 : x
  2. Step 2: Convert to fraction form
    208.95/314.66 = 182.22/x
  3. Step 3: Cross multiply
    208.95x = 314.66 × 182.22
  4. Step 4: Simplify right side
    208.95x = 57,337.35
  5. Step 5: Solve for x
    x = 57,337.35/208.95
  6. Step 6: Final answer
    x = 274.41

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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.