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Finding the Fourth Proportional to 117.27, 160.94 and 114.21

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Solution

The fourth proportional to 117.27, 160.94 and 114.21 is: 156.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.27 : 160.94 = 114.21 : x
  2. Step 2: Convert to fraction form
    117.27/160.94 = 114.21/x
  3. Step 3: Cross multiply
    117.27x = 160.94 × 114.21
  4. Step 4: Simplify right side
    117.27x = 18,381.24
  5. Step 5: Solve for x
    x = 18,381.24/117.27
  6. Step 6: Final answer
    x = 156.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.