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Finding the Fourth Proportional to 552.02, 827.36 and 259.12

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Solution

The fourth proportional to 552.02, 827.36 and 259.12 is: 388.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.02 : 827.36 = 259.12 : x
  2. Step 2: Convert to fraction form
    552.02/827.36 = 259.12/x
  3. Step 3: Cross multiply
    552.02x = 827.36 × 259.12
  4. Step 4: Simplify right side
    552.02x = 214,385.52
  5. Step 5: Solve for x
    x = 214,385.52/552.02
  6. Step 6: Final answer
    x = 388.37

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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.