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Finding the Fourth Proportional to 493.46, 739.28 and 288.14

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Solution

The fourth proportional to 493.46, 739.28 and 288.14 is: 431.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.46 : 739.28 = 288.14 : x
  2. Step 2: Convert to fraction form
    493.46/739.28 = 288.14/x
  3. Step 3: Cross multiply
    493.46x = 739.28 × 288.14
  4. Step 4: Simplify right side
    493.46x = 213,016.14
  5. Step 5: Solve for x
    x = 213,016.14/493.46
  6. Step 6: Final answer
    x = 431.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.