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Finding the Fourth Proportional to 214.46, 319.67 and 191.20

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Solution

The fourth proportional to 214.46, 319.67 and 191.20 is: 285.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.46 : 319.67 = 191.20 : x
  2. Step 2: Convert to fraction form
    214.46/319.67 = 191.20/x
  3. Step 3: Cross multiply
    214.46x = 319.67 × 191.20
  4. Step 4: Simplify right side
    214.46x = 61,120.90
  5. Step 5: Solve for x
    x = 61,120.90/214.46
  6. Step 6: Final answer
    x = 285.00

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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.