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Finding the Fourth Proportional to 134.72, 201.28 and 117.44

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Solution

The fourth proportional to 134.72, 201.28 and 117.44 is: 175.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.72 : 201.28 = 117.44 : x
  2. Step 2: Convert to fraction form
    134.72/201.28 = 117.44/x
  3. Step 3: Cross multiply
    134.72x = 201.28 × 117.44
  4. Step 4: Simplify right side
    134.72x = 23,638.32
  5. Step 5: Solve for x
    x = 23,638.32/134.72
  6. Step 6: Final answer
    x = 175.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.