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Finding the Fourth Proportional to 403.26, 557.73 and 359.52

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Solution

The fourth proportional to 403.26, 557.73 and 359.52 is: 497.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.26 : 557.73 = 359.52 : x
  2. Step 2: Convert to fraction form
    403.26/557.73 = 359.52/x
  3. Step 3: Cross multiply
    403.26x = 557.73 × 359.52
  4. Step 4: Simplify right side
    403.26x = 200,515.09
  5. Step 5: Solve for x
    x = 200,515.09/403.26
  6. Step 6: Final answer
    x = 497.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.