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Finding the Fourth Proportional to 315.42, 434.81 and 221.86

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Solution

The fourth proportional to 315.42, 434.81 and 221.86 is: 305.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.42 : 434.81 = 221.86 : x
  2. Step 2: Convert to fraction form
    315.42/434.81 = 221.86/x
  3. Step 3: Cross multiply
    315.42x = 434.81 × 221.86
  4. Step 4: Simplify right side
    315.42x = 96,466.95
  5. Step 5: Solve for x
    x = 96,466.95/315.42
  6. Step 6: Final answer
    x = 305.84

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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.