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Finding the Fourth Proportional to 214.56, 319.86 and 197.28

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Solution

The fourth proportional to 214.56, 319.86 and 197.28 is: 294.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.56 : 319.86 = 197.28 : x
  2. Step 2: Convert to fraction form
    214.56/319.86 = 197.28/x
  3. Step 3: Cross multiply
    214.56x = 319.86 × 197.28
  4. Step 4: Simplify right side
    214.56x = 63,101.98
  5. Step 5: Solve for x
    x = 63,101.98/214.56
  6. Step 6: Final answer
    x = 294.10

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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.