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Finding the Fourth Proportional to 117.25, 162.93 and 115.99

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Solution

The fourth proportional to 117.25, 162.93 and 115.99 is: 161.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.25 : 162.93 = 115.99 : x
  2. Step 2: Convert to fraction form
    117.25/162.93 = 115.99/x
  3. Step 3: Cross multiply
    117.25x = 162.93 × 115.99
  4. Step 4: Simplify right side
    117.25x = 18,898.25
  5. Step 5: Solve for x
    x = 18,898.25/117.25
  6. Step 6: Final answer
    x = 161.18

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.