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Finding the Fourth Proportional to 303.69, 452.51 and 271.38

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Solution

The fourth proportional to 303.69, 452.51 and 271.38 is: 404.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.69 : 452.51 = 271.38 : x
  2. Step 2: Convert to fraction form
    303.69/452.51 = 271.38/x
  3. Step 3: Cross multiply
    303.69x = 452.51 × 271.38
  4. Step 4: Simplify right side
    303.69x = 122,802.16
  5. Step 5: Solve for x
    x = 122,802.16/303.69
  6. Step 6: Final answer
    x = 404.37

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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.