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Finding the Fourth Proportional to 493.30, 737.07 and 365.30

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Solution

The fourth proportional to 493.30, 737.07 and 365.30 is: 545.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.30 : 737.07 = 365.30 : x
  2. Step 2: Convert to fraction form
    493.30/737.07 = 365.30/x
  3. Step 3: Cross multiply
    493.30x = 737.07 × 365.30
  4. Step 4: Simplify right side
    493.30x = 269,249.84
  5. Step 5: Solve for x
    x = 269,249.84/493.30
  6. Step 6: Final answer
    x = 545.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.