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Finding the Fourth Proportional to 315.09, 434.46 and 221.67

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Solution

The fourth proportional to 315.09, 434.46 and 221.67 is: 305.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.09 : 434.46 = 221.67 : x
  2. Step 2: Convert to fraction form
    315.09/434.46 = 221.67/x
  3. Step 3: Cross multiply
    315.09x = 434.46 × 221.67
  4. Step 4: Simplify right side
    315.09x = 96,307.58
  5. Step 5: Solve for x
    x = 96,307.58/315.09
  6. Step 6: Final answer
    x = 305.65

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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.