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Finding the Fourth Proportional to 435.15, 651.77 and 252.09

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Solution

The fourth proportional to 435.15, 651.77 and 252.09 is: 377.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.15 : 651.77 = 252.09 : x
  2. Step 2: Convert to fraction form
    435.15/651.77 = 252.09/x
  3. Step 3: Cross multiply
    435.15x = 651.77 × 252.09
  4. Step 4: Simplify right side
    435.15x = 164,305.33
  5. Step 5: Solve for x
    x = 164,305.33/435.15
  6. Step 6: Final answer
    x = 377.58

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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.