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Finding the Fourth Proportional to 303.38, 452.77 and 274.22

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Solution

The fourth proportional to 303.38, 452.77 and 274.22 is: 409.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.38 : 452.77 = 274.22 : x
  2. Step 2: Convert to fraction form
    303.38/452.77 = 274.22/x
  3. Step 3: Cross multiply
    303.38x = 452.77 × 274.22
  4. Step 4: Simplify right side
    303.38x = 124,156.33
  5. Step 5: Solve for x
    x = 124,156.33/303.38
  6. Step 6: Final answer
    x = 409.25

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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.