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Finding the Fourth Proportional to 134.49, 201.73 and 38.30

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Solution

The fourth proportional to 134.49, 201.73 and 38.30 is: 57.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.49 : 201.73 = 38.30 : x
  2. Step 2: Convert to fraction form
    134.49/201.73 = 38.30/x
  3. Step 3: Cross multiply
    134.49x = 201.73 × 38.30
  4. Step 4: Simplify right side
    134.49x = 7,726.26
  5. Step 5: Solve for x
    x = 7,726.26/134.49
  6. Step 6: Final answer
    x = 57.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.