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Finding the Fourth Proportional to 370.37, 511.01 and 252.73

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Solution

The fourth proportional to 370.37, 511.01 and 252.73 is: 348.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.37 : 511.01 = 252.73 : x
  2. Step 2: Convert to fraction form
    370.37/511.01 = 252.73/x
  3. Step 3: Cross multiply
    370.37x = 511.01 × 252.73
  4. Step 4: Simplify right side
    370.37x = 129,145.00
  5. Step 5: Solve for x
    x = 129,145.00/370.37
  6. Step 6: Final answer
    x = 348.70

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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.