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Finding the Fourth Proportional to 208.08, 286.55 and 178.46

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Solution

The fourth proportional to 208.08, 286.55 and 178.46 is: 245.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.08 : 286.55 = 178.46 : x
  2. Step 2: Convert to fraction form
    208.08/286.55 = 178.46/x
  3. Step 3: Cross multiply
    208.08x = 286.55 × 178.46
  4. Step 4: Simplify right side
    208.08x = 51,137.71
  5. Step 5: Solve for x
    x = 51,137.71/208.08
  6. Step 6: Final answer
    x = 245.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.