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Finding the Fourth Proportional to 371.34, 511.92 and 283.86

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Solution

The fourth proportional to 371.34, 511.92 and 283.86 is: 391.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.34 : 511.92 = 283.86 : x
  2. Step 2: Convert to fraction form
    371.34/511.92 = 283.86/x
  3. Step 3: Cross multiply
    371.34x = 511.92 × 283.86
  4. Step 4: Simplify right side
    371.34x = 145,313.61
  5. Step 5: Solve for x
    x = 145,313.61/371.34
  6. Step 6: Final answer
    x = 391.32

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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.