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Finding the Fourth Proportional to 315.42, 435.26 and 203.48

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Solution

The fourth proportional to 315.42, 435.26 and 203.48 is: 280.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.42 : 435.26 = 203.48 : x
  2. Step 2: Convert to fraction form
    315.42/435.26 = 203.48/x
  3. Step 3: Cross multiply
    315.42x = 435.26 × 203.48
  4. Step 4: Simplify right side
    315.42x = 88,566.70
  5. Step 5: Solve for x
    x = 88,566.70/315.42
  6. Step 6: Final answer
    x = 280.79

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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.