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Finding the Fourth Proportional to 212.98, 319.61 and 91.35

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Solution

The fourth proportional to 212.98, 319.61 and 91.35 is: 137.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.98 : 319.61 = 91.35 : x
  2. Step 2: Convert to fraction form
    212.98/319.61 = 91.35/x
  3. Step 3: Cross multiply
    212.98x = 319.61 × 91.35
  4. Step 4: Simplify right side
    212.98x = 29,196.37
  5. Step 5: Solve for x
    x = 29,196.37/212.98
  6. Step 6: Final answer
    x = 137.09

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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.