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Finding the Fourth Proportional to 5.51, 8.21 and 4.67

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Solution

The fourth proportional to 5.51, 8.21 and 4.67 is: 6.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.51 : 8.21 = 4.67 : x
  2. Step 2: Convert to fraction form
    5.51/8.21 = 4.67/x
  3. Step 3: Cross multiply
    5.51x = 8.21 × 4.67
  4. Step 4: Simplify right side
    5.51x = 38.31
  5. Step 5: Solve for x
    x = 38.31/5.51
  6. Step 6: Final answer
    x = 6.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.