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Finding the Fourth Proportional to 371.37, 511.27 and 307.79

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Solution

The fourth proportional to 371.37, 511.27 and 307.79 is: 423.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.37 : 511.27 = 307.79 : x
  2. Step 2: Convert to fraction form
    371.37/511.27 = 307.79/x
  3. Step 3: Cross multiply
    371.37x = 511.27 × 307.79
  4. Step 4: Simplify right side
    371.37x = 157,360.47
  5. Step 5: Solve for x
    x = 157,360.47/371.37
  6. Step 6: Final answer
    x = 423.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.