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Finding the Fourth Proportional to 210.67, 292.74 and 208.42

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Solution

The fourth proportional to 210.67, 292.74 and 208.42 is: 289.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.67 : 292.74 = 208.42 : x
  2. Step 2: Convert to fraction form
    210.67/292.74 = 208.42/x
  3. Step 3: Cross multiply
    210.67x = 292.74 × 208.42
  4. Step 4: Simplify right side
    210.67x = 61,012.87
  5. Step 5: Solve for x
    x = 61,012.87/210.67
  6. Step 6: Final answer
    x = 289.61

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.