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Finding the Fourth Proportional to 403.05, 602.03 and 321.66

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Solution

The fourth proportional to 403.05, 602.03 and 321.66 is: 480.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.05 : 602.03 = 321.66 : x
  2. Step 2: Convert to fraction form
    403.05/602.03 = 321.66/x
  3. Step 3: Cross multiply
    403.05x = 602.03 × 321.66
  4. Step 4: Simplify right side
    403.05x = 193,647.36
  5. Step 5: Solve for x
    x = 193,647.36/403.05
  6. Step 6: Final answer
    x = 480.45

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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.