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Finding the Fourth Proportional to 259.19, 357.31 and 203.83

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Solution

The fourth proportional to 259.19, 357.31 and 203.83 is: 280.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.19 : 357.31 = 203.83 : x
  2. Step 2: Convert to fraction form
    259.19/357.31 = 203.83/x
  3. Step 3: Cross multiply
    259.19x = 357.31 × 203.83
  4. Step 4: Simplify right side
    259.19x = 72,830.37
  5. Step 5: Solve for x
    x = 72,830.37/259.19
  6. Step 6: Final answer
    x = 280.99

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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.