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Finding the Fourth Proportional to 401.36, 599.14 and 370.88

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Solution

The fourth proportional to 401.36, 599.14 and 370.88 is: 553.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.36 : 599.14 = 370.88 : x
  2. Step 2: Convert to fraction form
    401.36/599.14 = 370.88/x
  3. Step 3: Cross multiply
    401.36x = 599.14 × 370.88
  4. Step 4: Simplify right side
    401.36x = 222,209.04
  5. Step 5: Solve for x
    x = 222,209.04/401.36
  6. Step 6: Final answer
    x = 553.64

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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.