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Finding the Fourth Proportional to 126.33, 174.56 and 105.30

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Solution

The fourth proportional to 126.33, 174.56 and 105.30 is: 145.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.33 : 174.56 = 105.30 : x
  2. Step 2: Convert to fraction form
    126.33/174.56 = 105.30/x
  3. Step 3: Cross multiply
    126.33x = 174.56 × 105.30
  4. Step 4: Simplify right side
    126.33x = 18,381.17
  5. Step 5: Solve for x
    x = 18,381.17/126.33
  6. Step 6: Final answer
    x = 145.50

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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.