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Finding the Fourth Proportional to 104.34, 145.14 and 102.36

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Solution

The fourth proportional to 104.34, 145.14 and 102.36 is: 142.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.34 : 145.14 = 102.36 : x
  2. Step 2: Convert to fraction form
    104.34/145.14 = 102.36/x
  3. Step 3: Cross multiply
    104.34x = 145.14 × 102.36
  4. Step 4: Simplify right side
    104.34x = 14,856.53
  5. Step 5: Solve for x
    x = 14,856.53/104.34
  6. Step 6: Final answer
    x = 142.39

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.