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Finding the Fourth Proportional to 538.86, 809.91 and 357.33

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Solution

The fourth proportional to 538.86, 809.91 and 357.33 is: 537.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.86 : 809.91 = 357.33 : x
  2. Step 2: Convert to fraction form
    538.86/809.91 = 357.33/x
  3. Step 3: Cross multiply
    538.86x = 809.91 × 357.33
  4. Step 4: Simplify right side
    538.86x = 289,405.14
  5. Step 5: Solve for x
    x = 289,405.14/538.86
  6. Step 6: Final answer
    x = 537.07

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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.