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Finding the Fourth Proportional to 371.09, 553.56 and 309.53

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Solution

The fourth proportional to 371.09, 553.56 and 309.53 is: 461.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.09 : 553.56 = 309.53 : x
  2. Step 2: Convert to fraction form
    371.09/553.56 = 309.53/x
  3. Step 3: Cross multiply
    371.09x = 553.56 × 309.53
  4. Step 4: Simplify right side
    371.09x = 171,343.43
  5. Step 5: Solve for x
    x = 171,343.43/371.09
  6. Step 6: Final answer
    x = 461.73

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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.