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Finding the Fourth Proportional to 371.38, 511.94 and 305.77

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Solution

The fourth proportional to 371.38, 511.94 and 305.77 is: 421.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.38 : 511.94 = 305.77 : x
  2. Step 2: Convert to fraction form
    371.38/511.94 = 305.77/x
  3. Step 3: Cross multiply
    371.38x = 511.94 × 305.77
  4. Step 4: Simplify right side
    371.38x = 156,535.89
  5. Step 5: Solve for x
    x = 156,535.89/371.38
  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.