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Finding the Fourth Proportional to 214.94, 320.69 and 191.86

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Solution

The fourth proportional to 214.94, 320.69 and 191.86 is: 286.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.94 : 320.69 = 191.86 : x
  2. Step 2: Convert to fraction form
    214.94/320.69 = 191.86/x
  3. Step 3: Cross multiply
    214.94x = 320.69 × 191.86
  4. Step 4: Simplify right side
    214.94x = 61,527.26
  5. Step 5: Solve for x
    x = 61,527.26/214.94
  6. Step 6: Final answer
    x = 286.25

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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.