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Finding the Fourth Proportional to 313.86, 471.08 and 198.51

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Solution

The fourth proportional to 313.86, 471.08 and 198.51 is: 297.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.86 : 471.08 = 198.51 : x
  2. Step 2: Convert to fraction form
    313.86/471.08 = 198.51/x
  3. Step 3: Cross multiply
    313.86x = 471.08 × 198.51
  4. Step 4: Simplify right side
    313.86x = 93,514.09
  5. Step 5: Solve for x
    x = 93,514.09/313.86
  6. Step 6: Final answer
    x = 297.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.