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Finding the Fourth Proportional to 4.54, 6.86 and 4.29

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Solution

The fourth proportional to 4.54, 6.86 and 4.29 is: 6.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.54 : 6.86 = 4.29 : x
  2. Step 2: Convert to fraction form
    4.54/6.86 = 4.29/x
  3. Step 3: Cross multiply
    4.54x = 6.86 × 4.29
  4. Step 4: Simplify right side
    4.54x = 29.46
  5. Step 5: Solve for x
    x = 29.46/4.54
  6. Step 6: Final answer
    x = 6.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.