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Finding the Fourth Proportional to 315.96, 435.74 and 217.86

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Solution

The fourth proportional to 315.96, 435.74 and 217.86 is: 300.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.96 : 435.74 = 217.86 : x
  2. Step 2: Convert to fraction form
    315.96/435.74 = 217.86/x
  3. Step 3: Cross multiply
    315.96x = 435.74 × 217.86
  4. Step 4: Simplify right side
    315.96x = 94,930.32
  5. Step 5: Solve for x
    x = 94,930.32/315.96
  6. Step 6: Final answer
    x = 300.45

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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.