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Finding the Fourth Proportional to 303.48, 452.18 and 271.14

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Solution

The fourth proportional to 303.48, 452.18 and 271.14 is: 403.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.48 : 452.18 = 271.14 : x
  2. Step 2: Convert to fraction form
    303.48/452.18 = 271.14/x
  3. Step 3: Cross multiply
    303.48x = 452.18 × 271.14
  4. Step 4: Simplify right side
    303.48x = 122,604.09
  5. Step 5: Solve for x
    x = 122,604.09/303.48
  6. Step 6: Final answer
    x = 403.99

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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.