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Finding the Fourth Proportional to 401.76, 599.40 and 350.31

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Solution

The fourth proportional to 401.76, 599.40 and 350.31 is: 522.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.76 : 599.40 = 350.31 : x
  2. Step 2: Convert to fraction form
    401.76/599.40 = 350.31/x
  3. Step 3: Cross multiply
    401.76x = 599.40 × 350.31
  4. Step 4: Simplify right side
    401.76x = 209,975.81
  5. Step 5: Solve for x
    x = 209,975.81/401.76
  6. Step 6: Final answer
    x = 522.64

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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.