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Finding the Fourth Proportional to 214.56, 320.08 and 199.04

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Solution

The fourth proportional to 214.56, 320.08 and 199.04 is: 296.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.56 : 320.08 = 199.04 : x
  2. Step 2: Convert to fraction form
    214.56/320.08 = 199.04/x
  3. Step 3: Cross multiply
    214.56x = 320.08 × 199.04
  4. Step 4: Simplify right side
    214.56x = 63,708.72
  5. Step 5: Solve for x
    x = 63,708.72/214.56
  6. Step 6: Final answer
    x = 296.93

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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.