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Finding the Fourth Proportional to 400.85, 598.36 and 352.25

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Solution

The fourth proportional to 400.85, 598.36 and 352.25 is: 525.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.85 : 598.36 = 352.25 : x
  2. Step 2: Convert to fraction form
    400.85/598.36 = 352.25/x
  3. Step 3: Cross multiply
    400.85x = 598.36 × 352.25
  4. Step 4: Simplify right side
    400.85x = 210,772.31
  5. Step 5: Solve for x
    x = 210,772.31/400.85
  6. Step 6: Final answer
    x = 525.81

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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.