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Finding the Fourth Proportional to 259.12, 357.58 and 203.76

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Solution

The fourth proportional to 259.12, 357.58 and 203.76 is: 281.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.12 : 357.58 = 203.76 : x
  2. Step 2: Convert to fraction form
    259.12/357.58 = 203.76/x
  3. Step 3: Cross multiply
    259.12x = 357.58 × 203.76
  4. Step 4: Simplify right side
    259.12x = 72,860.50
  5. Step 5: Solve for x
    x = 72,860.50/259.12
  6. Step 6: Final answer
    x = 281.18

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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.