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Finding the Fourth Proportional to 493.32, 739.96 and 204.68

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Solution

The fourth proportional to 493.32, 739.96 and 204.68 is: 307.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.32 : 739.96 = 204.68 : x
  2. Step 2: Convert to fraction form
    493.32/739.96 = 204.68/x
  3. Step 3: Cross multiply
    493.32x = 739.96 × 204.68
  4. Step 4: Simplify right side
    493.32x = 151,455.01
  5. Step 5: Solve for x
    x = 151,455.01/493.32
  6. Step 6: Final answer
    x = 307.01

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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.