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Finding the Fourth Proportional to 117.06, 174.67 and 103.35

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Solution

The fourth proportional to 117.06, 174.67 and 103.35 is: 154.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.06 : 174.67 = 103.35 : x
  2. Step 2: Convert to fraction form
    117.06/174.67 = 103.35/x
  3. Step 3: Cross multiply
    117.06x = 174.67 × 103.35
  4. Step 4: Simplify right side
    117.06x = 18,052.14
  5. Step 5: Solve for x
    x = 18,052.14/117.06
  6. Step 6: Final answer
    x = 154.21

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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.