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Finding the Fourth Proportional to 211.09, 288.80 and 210.18

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Solution

The fourth proportional to 211.09, 288.80 and 210.18 is: 287.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.09 : 288.80 = 210.18 : x
  2. Step 2: Convert to fraction form
    211.09/288.80 = 210.18/x
  3. Step 3: Cross multiply
    211.09x = 288.80 × 210.18
  4. Step 4: Simplify right side
    211.09x = 60,698.93
  5. Step 5: Solve for x
    x = 60,698.93/211.09
  6. Step 6: Final answer
    x = 287.55

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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.