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Finding the Fourth Proportional to 210.18, 292.37 and 206.22

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Solution

The fourth proportional to 210.18, 292.37 and 206.22 is: 286.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.18 : 292.37 = 206.22 : x
  2. Step 2: Convert to fraction form
    210.18/292.37 = 206.22/x
  3. Step 3: Cross multiply
    210.18x = 292.37 × 206.22
  4. Step 4: Simplify right side
    210.18x = 60,292.54
  5. Step 5: Solve for x
    x = 60,292.54/210.18
  6. Step 6: Final answer
    x = 286.86

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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.