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Finding the Fourth Proportional to 403.03, 604.54 and 142.97

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Solution

The fourth proportional to 403.03, 604.54 and 142.97 is: 214.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.03 : 604.54 = 142.97 : x
  2. Step 2: Convert to fraction form
    403.03/604.54 = 142.97/x
  3. Step 3: Cross multiply
    403.03x = 604.54 × 142.97
  4. Step 4: Simplify right side
    403.03x = 86,431.08
  5. Step 5: Solve for x
    x = 86,431.08/403.03
  6. Step 6: Final answer
    x = 214.45

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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.