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Finding the Fourth Proportional to 315.48, 435.28 and 204.96

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Solution

The fourth proportional to 315.48, 435.28 and 204.96 is: 282.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.48 : 435.28 = 204.96 : x
  2. Step 2: Convert to fraction form
    315.48/435.28 = 204.96/x
  3. Step 3: Cross multiply
    315.48x = 435.28 × 204.96
  4. Step 4: Simplify right side
    315.48x = 89,214.99
  5. Step 5: Solve for x
    x = 89,214.99/315.48
  6. Step 6: Final answer
    x = 282.79

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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.