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Finding the Fourth Proportional to 314.91, 471.79 and 131.98

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Solution

The fourth proportional to 314.91, 471.79 and 131.98 is: 197.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.91 : 471.79 = 131.98 : x
  2. Step 2: Convert to fraction form
    314.91/471.79 = 131.98/x
  3. Step 3: Cross multiply
    314.91x = 471.79 × 131.98
  4. Step 4: Simplify right side
    314.91x = 62,266.84
  5. Step 5: Solve for x
    x = 62,266.84/314.91
  6. Step 6: Final answer
    x = 197.73

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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.