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Finding the Fourth Proportional to 68.42, 102.59 and 35.84

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Solution

The fourth proportional to 68.42, 102.59 and 35.84 is: 53.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.42 : 102.59 = 35.84 : x
  2. Step 2: Convert to fraction form
    68.42/102.59 = 35.84/x
  3. Step 3: Cross multiply
    68.42x = 102.59 × 35.84
  4. Step 4: Simplify right side
    68.42x = 3,677.24
  5. Step 5: Solve for x
    x = 3,677.24/68.42
  6. Step 6: Final answer
    x = 53.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.