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Finding the Fourth Proportional to 303, 418.15 and 214.64

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Solution

The fourth proportional to 303, 418.15 and 214.64 is: 296.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    303 : 418.15 = 214.64 : x
  2. Step 2: Convert to fraction form
    303/418.15 = 214.64/x
  3. Step 3: Cross multiply
    303x = 418.15 × 214.64
  4. Step 4: Simplify right side
    303x = 89,749.09
  5. Step 5: Solve for x
    x = 89,749.09/303
  6. Step 6: Final answer
    x = 296.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.