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Finding the Fourth Proportional to 486.72, 671.67 and 265.67

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Solution

The fourth proportional to 486.72, 671.67 and 265.67 is: 366.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.72 : 671.67 = 265.67 : x
  2. Step 2: Convert to fraction form
    486.72/671.67 = 265.67/x
  3. Step 3: Cross multiply
    486.72x = 671.67 × 265.67
  4. Step 4: Simplify right side
    486.72x = 178,440.23
  5. Step 5: Solve for x
    x = 178,440.23/486.72
  6. Step 6: Final answer
    x = 366.62

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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.