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Finding the Fourth Proportional to 315.40, 435.18 and 204.91

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Solution

The fourth proportional to 315.40, 435.18 and 204.91 is: 282.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.40 : 435.18 = 204.91 : x
  2. Step 2: Convert to fraction form
    315.40/435.18 = 204.91/x
  3. Step 3: Cross multiply
    315.40x = 435.18 × 204.91
  4. Step 4: Simplify right side
    315.40x = 89,172.73
  5. Step 5: Solve for x
    x = 89,172.73/315.40
  6. Step 6: Final answer
    x = 282.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.