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Finding the Fourth Proportional to 214.12, 319.46 and 184.96

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Solution

The fourth proportional to 214.12, 319.46 and 184.96 is: 275.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.12 : 319.46 = 184.96 : x
  2. Step 2: Convert to fraction form
    214.12/319.46 = 184.96/x
  3. Step 3: Cross multiply
    214.12x = 319.46 × 184.96
  4. Step 4: Simplify right side
    214.12x = 59,087.32
  5. Step 5: Solve for x
    x = 59,087.32/214.12
  6. Step 6: Final answer
    x = 275.95

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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.