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Finding the Fourth Proportional to 403.35, 556.46 and 320.12

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Solution

The fourth proportional to 403.35, 556.46 and 320.12 is: 441.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.35 : 556.46 = 320.12 : x
  2. Step 2: Convert to fraction form
    403.35/556.46 = 320.12/x
  3. Step 3: Cross multiply
    403.35x = 556.46 × 320.12
  4. Step 4: Simplify right side
    403.35x = 178,136.01
  5. Step 5: Solve for x
    x = 178,136.01/403.35
  6. Step 6: Final answer
    x = 441.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.