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Finding the Fourth Proportional to 360.50, 497.45 and 203.11

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Solution

The fourth proportional to 360.50, 497.45 and 203.11 is: 280.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.50 : 497.45 = 203.11 : x
  2. Step 2: Convert to fraction form
    360.50/497.45 = 203.11/x
  3. Step 3: Cross multiply
    360.50x = 497.45 × 203.11
  4. Step 4: Simplify right side
    360.50x = 101,036.33
  5. Step 5: Solve for x
    x = 101,036.33/360.50
  6. Step 6: Final answer
    x = 280.27

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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.