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Finding the Fourth Proportional to 371.76, 509.34 and 319.92

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Solution

The fourth proportional to 371.76, 509.34 and 319.92 is: 438.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.76 : 509.34 = 319.92 : x
  2. Step 2: Convert to fraction form
    371.76/509.34 = 319.92/x
  3. Step 3: Cross multiply
    371.76x = 509.34 × 319.92
  4. Step 4: Simplify right side
    371.76x = 162,948.05
  5. Step 5: Solve for x
    x = 162,948.05/371.76
  6. Step 6: Final answer
    x = 438.32

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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.