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Finding the Fourth Proportional to 103.53, 143.07 and 100.11

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Solution

The fourth proportional to 103.53, 143.07 and 100.11 is: 138.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.53 : 143.07 = 100.11 : x
  2. Step 2: Convert to fraction form
    103.53/143.07 = 100.11/x
  3. Step 3: Cross multiply
    103.53x = 143.07 × 100.11
  4. Step 4: Simplify right side
    103.53x = 14,322.74
  5. Step 5: Solve for x
    x = 14,322.74/103.53
  6. Step 6: Final answer
    x = 138.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.