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Finding the Fourth Proportional to 371.50, 511.86 and 305.92

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Solution

The fourth proportional to 371.50, 511.86 and 305.92 is: 421.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.50 : 511.86 = 305.92 : x
  2. Step 2: Convert to fraction form
    371.50/511.86 = 305.92/x
  3. Step 3: Cross multiply
    371.50x = 511.86 × 305.92
  4. Step 4: Simplify right side
    371.50x = 156,588.21
  5. Step 5: Solve for x
    x = 156,588.21/371.50
  6. Step 6: Final answer
    x = 421.50

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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.