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Finding the Fourth Proportional to 212.95, 292.50 and 208.85

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Solution

The fourth proportional to 212.95, 292.50 and 208.85 is: 286.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.95 : 292.50 = 208.85 : x
  2. Step 2: Convert to fraction form
    212.95/292.50 = 208.85/x
  3. Step 3: Cross multiply
    212.95x = 292.50 × 208.85
  4. Step 4: Simplify right side
    212.95x = 61,087.16
  5. Step 5: Solve for x
    x = 61,087.16/212.95
  6. Step 6: Final answer
    x = 286.86

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.