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Finding the Fourth Proportional to 117.45, 174.93 and 113.20

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Solution

The fourth proportional to 117.45, 174.93 and 113.20 is: 168.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.45 : 174.93 = 113.20 : x
  2. Step 2: Convert to fraction form
    117.45/174.93 = 113.20/x
  3. Step 3: Cross multiply
    117.45x = 174.93 × 113.20
  4. Step 4: Simplify right side
    117.45x = 19,801.21
  5. Step 5: Solve for x
    x = 19,801.21/117.45
  6. Step 6: Final answer
    x = 168.59

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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.