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Finding the Fourth Proportional to 146.51, 219.25 and 117.55

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Solution

The fourth proportional to 146.51, 219.25 and 117.55 is: 175.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.51 : 219.25 = 117.55 : x
  2. Step 2: Convert to fraction form
    146.51/219.25 = 117.55/x
  3. Step 3: Cross multiply
    146.51x = 219.25 × 117.55
  4. Step 4: Simplify right side
    146.51x = 25,771.15
  5. Step 5: Solve for x
    x = 25,771.15/146.51
  6. Step 6: Final answer
    x = 175.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.