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Finding the Fourth Proportional to 210.40, 291.67 and 199.44

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Solution

The fourth proportional to 210.40, 291.67 and 199.44 is: 276.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.40 : 291.67 = 199.44 : x
  2. Step 2: Convert to fraction form
    210.40/291.67 = 199.44/x
  3. Step 3: Cross multiply
    210.40x = 291.67 × 199.44
  4. Step 4: Simplify right side
    210.40x = 58,170.66
  5. Step 5: Solve for x
    x = 58,170.66/210.40
  6. Step 6: Final answer
    x = 276.48

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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.