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Finding the Fourth Proportional to 103.35, 143.57 and 102.39

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Solution

The fourth proportional to 103.35, 143.57 and 102.39 is: 142.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.35 : 143.57 = 102.39 : x
  2. Step 2: Convert to fraction form
    103.35/143.57 = 102.39/x
  3. Step 3: Cross multiply
    103.35x = 143.57 × 102.39
  4. Step 4: Simplify right side
    103.35x = 14,699.62
  5. Step 5: Solve for x
    x = 14,699.62/103.35
  6. Step 6: Final answer
    x = 142.23

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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.