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Finding the Fourth Proportional to 716, 1,074.18 and 203

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Solution

The fourth proportional to 716, 1,074.18 and 203 is: 304.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    716 : 1,074.18 = 203 : x
  2. Step 2: Convert to fraction form
    716/1,074.18 = 203/x
  3. Step 3: Cross multiply
    716x = 1,074.18 × 203
  4. Step 4: Simplify right side
    716x = 218,058.54
  5. Step 5: Solve for x
    x = 218,058.54/716
  6. Step 6: Final answer
    x = 304.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.