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Finding the Fourth Proportional to 212.72, 319.01 and 118.89

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Solution

The fourth proportional to 212.72, 319.01 and 118.89 is: 178.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.72 : 319.01 = 118.89 : x
  2. Step 2: Convert to fraction form
    212.72/319.01 = 118.89/x
  3. Step 3: Cross multiply
    212.72x = 319.01 × 118.89
  4. Step 4: Simplify right side
    212.72x = 37,926.50
  5. Step 5: Solve for x
    x = 37,926.50/212.72
  6. Step 6: Final answer
    x = 178.30

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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.