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Finding the Fourth Proportional to 134.38, 184.83 and 117.98

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Solution

The fourth proportional to 134.38, 184.83 and 117.98 is: 162.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.38 : 184.83 = 117.98 : x
  2. Step 2: Convert to fraction form
    134.38/184.83 = 117.98/x
  3. Step 3: Cross multiply
    134.38x = 184.83 × 117.98
  4. Step 4: Simplify right side
    134.38x = 21,806.24
  5. Step 5: Solve for x
    x = 21,806.24/134.38
  6. Step 6: Final answer
    x = 162.28

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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.