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Finding the Fourth Proportional to 507.26, 699.91 and 305.33

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Solution

The fourth proportional to 507.26, 699.91 and 305.33 is: 421.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.26 : 699.91 = 305.33 : x
  2. Step 2: Convert to fraction form
    507.26/699.91 = 305.33/x
  3. Step 3: Cross multiply
    507.26x = 699.91 × 305.33
  4. Step 4: Simplify right side
    507.26x = 213,704.51
  5. Step 5: Solve for x
    x = 213,704.51/507.26
  6. Step 6: Final answer
    x = 421.30

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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.