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Finding the Fourth Proportional to 214.11, 319.61 and 183.12

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Solution

The fourth proportional to 214.11, 319.61 and 183.12 is: 273.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.11 : 319.61 = 183.12 : x
  2. Step 2: Convert to fraction form
    214.11/319.61 = 183.12/x
  3. Step 3: Cross multiply
    214.11x = 319.61 × 183.12
  4. Step 4: Simplify right side
    214.11x = 58,526.98
  5. Step 5: Solve for x
    x = 58,526.98/214.11
  6. Step 6: Final answer
    x = 273.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.