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Finding the Fourth Proportional to 371.16, 509.28 and 350.52

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Solution

The fourth proportional to 371.16, 509.28 and 350.52 is: 480.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.16 : 509.28 = 350.52 : x
  2. Step 2: Convert to fraction form
    371.16/509.28 = 350.52/x
  3. Step 3: Cross multiply
    371.16x = 509.28 × 350.52
  4. Step 4: Simplify right side
    371.16x = 178,512.83
  5. Step 5: Solve for x
    x = 178,512.83/371.16
  6. Step 6: Final answer
    x = 480.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.