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Finding the Fourth Proportional to 400.05, 597.75 and 318.03

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Solution

The fourth proportional to 400.05, 597.75 and 318.03 is: 475.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.05 : 597.75 = 318.03 : x
  2. Step 2: Convert to fraction form
    400.05/597.75 = 318.03/x
  3. Step 3: Cross multiply
    400.05x = 597.75 × 318.03
  4. Step 4: Simplify right side
    400.05x = 190,102.43
  5. Step 5: Solve for x
    x = 190,102.43/400.05
  6. Step 6: Final answer
    x = 475.20

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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.