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Finding the Fourth Proportional to 103.50, 143.51 and 103.05

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Solution

The fourth proportional to 103.50, 143.51 and 103.05 is: 142.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.50 : 143.51 = 103.05 : x
  2. Step 2: Convert to fraction form
    103.50/143.51 = 103.05/x
  3. Step 3: Cross multiply
    103.50x = 143.51 × 103.05
  4. Step 4: Simplify right side
    103.50x = 14,788.19
  5. Step 5: Solve for x
    x = 14,788.19/103.50
  6. Step 6: Final answer
    x = 142.88

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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.