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Finding the Fourth Proportional to 400.02, 599.55 and 352.02

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Solution

The fourth proportional to 400.02, 599.55 and 352.02 is: 527.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.02 : 599.55 = 352.02 : x
  2. Step 2: Convert to fraction form
    400.02/599.55 = 352.02/x
  3. Step 3: Cross multiply
    400.02x = 599.55 × 352.02
  4. Step 4: Simplify right side
    400.02x = 211,053.59
  5. Step 5: Solve for x
    x = 211,053.59/400.02
  6. Step 6: Final answer
    x = 527.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.