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Finding the Fourth Proportional to 103.40, 149.75 and 103.40

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Solution

The fourth proportional to 103.40, 149.75 and 103.40 is: 149.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.40 : 149.75 = 103.40 : x
  2. Step 2: Convert to fraction form
    103.40/149.75 = 103.40/x
  3. Step 3: Cross multiply
    103.40x = 149.75 × 103.40
  4. Step 4: Simplify right side
    103.40x = 15,484.15
  5. Step 5: Solve for x
    x = 15,484.15/103.40
  6. Step 6: Final answer
    x = 149.75

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.