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Finding the Fourth Proportional to 493.48, 739.50 and 204.76

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Solution

The fourth proportional to 493.48, 739.50 and 204.76 is: 306.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.48 : 739.50 = 204.76 : x
  2. Step 2: Convert to fraction form
    493.48/739.50 = 204.76/x
  3. Step 3: Cross multiply
    493.48x = 739.50 × 204.76
  4. Step 4: Simplify right side
    493.48x = 151,420.02
  5. Step 5: Solve for x
    x = 151,420.02/493.48
  6. Step 6: Final answer
    x = 306.84

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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.