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Finding the Fourth Proportional to 401.21, 599.07 and 378.42

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Solution

The fourth proportional to 401.21, 599.07 and 378.42 is: 565.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.21 : 599.07 = 378.42 : x
  2. Step 2: Convert to fraction form
    401.21/599.07 = 378.42/x
  3. Step 3: Cross multiply
    401.21x = 599.07 × 378.42
  4. Step 4: Simplify right side
    401.21x = 226,700.07
  5. Step 5: Solve for x
    x = 226,700.07/401.21
  6. Step 6: Final answer
    x = 565.05

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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.