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Finding the Fourth Proportional to 360.25, 497.15 and 205.03

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Solution

The fourth proportional to 360.25, 497.15 and 205.03 is: 282.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.25 : 497.15 = 205.03 : x
  2. Step 2: Convert to fraction form
    360.25/497.15 = 205.03/x
  3. Step 3: Cross multiply
    360.25x = 497.15 × 205.03
  4. Step 4: Simplify right side
    360.25x = 101,929.64
  5. Step 5: Solve for x
    x = 101,929.64/360.25
  6. Step 6: Final answer
    x = 282.94

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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.