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Finding the Fourth Proportional to 214.83, 320.69 and 200.25

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Solution

The fourth proportional to 214.83, 320.69 and 200.25 is: 298.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.83 : 320.69 = 200.25 : x
  2. Step 2: Convert to fraction form
    214.83/320.69 = 200.25/x
  3. Step 3: Cross multiply
    214.83x = 320.69 × 200.25
  4. Step 4: Simplify right side
    214.83x = 64,218.67
  5. Step 5: Solve for x
    x = 64,218.67/214.83
  6. Step 6: Final answer
    x = 298.93

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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.