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Finding the Fourth Proportional to 230.02, 317.23 and 198.55

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Solution

The fourth proportional to 230.02, 317.23 and 198.55 is: 273.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.02 : 317.23 = 198.55 : x
  2. Step 2: Convert to fraction form
    230.02/317.23 = 198.55/x
  3. Step 3: Cross multiply
    230.02x = 317.23 × 198.55
  4. Step 4: Simplify right side
    230.02x = 62,985.92
  5. Step 5: Solve for x
    x = 62,985.92/230.02
  6. Step 6: Final answer
    x = 273.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.