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Finding the Fourth Proportional to 493.02, 737.91 and 329.58

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Solution

The fourth proportional to 493.02, 737.91 and 329.58 is: 493.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.02 : 737.91 = 329.58 : x
  2. Step 2: Convert to fraction form
    493.02/737.91 = 329.58/x
  3. Step 3: Cross multiply
    493.02x = 737.91 × 329.58
  4. Step 4: Simplify right side
    493.02x = 243,200.38
  5. Step 5: Solve for x
    x = 243,200.38/493.02
  6. Step 6: Final answer
    x = 493.29

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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.