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Finding the Fourth Proportional to 68.44, 103.16 and 64.51

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Solution

The fourth proportional to 68.44, 103.16 and 64.51 is: 97.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.44 : 103.16 = 64.51 : x
  2. Step 2: Convert to fraction form
    68.44/103.16 = 64.51/x
  3. Step 3: Cross multiply
    68.44x = 103.16 × 64.51
  4. Step 4: Simplify right side
    68.44x = 6,654.85
  5. Step 5: Solve for x
    x = 6,654.85/68.44
  6. Step 6: Final answer
    x = 97.24

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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.