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Finding the Fourth Proportional to 212.98, 319.56 and 185.98

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Solution

The fourth proportional to 212.98, 319.56 and 185.98 is: 279.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.98 : 319.56 = 185.98 : x
  2. Step 2: Convert to fraction form
    212.98/319.56 = 185.98/x
  3. Step 3: Cross multiply
    212.98x = 319.56 × 185.98
  4. Step 4: Simplify right side
    212.98x = 59,431.77
  5. Step 5: Solve for x
    x = 59,431.77/212.98
  6. Step 6: Final answer
    x = 279.05

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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.