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Finding the Fourth Proportional to 212.89, 317.80 and 198.99

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Solution

The fourth proportional to 212.89, 317.80 and 198.99 is: 297.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.89 : 317.80 = 198.99 : x
  2. Step 2: Convert to fraction form
    212.89/317.80 = 198.99/x
  3. Step 3: Cross multiply
    212.89x = 317.80 × 198.99
  4. Step 4: Simplify right side
    212.89x = 63,239.02
  5. Step 5: Solve for x
    x = 63,239.02/212.89
  6. Step 6: Final answer
    x = 297.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.