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Finding the Fourth Proportional to 146.77, 221.16 and 121.65

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Solution

The fourth proportional to 146.77, 221.16 and 121.65 is: 183.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.77 : 221.16 = 121.65 : x
  2. Step 2: Convert to fraction form
    146.77/221.16 = 121.65/x
  3. Step 3: Cross multiply
    146.77x = 221.16 × 121.65
  4. Step 4: Simplify right side
    146.77x = 26,904.11
  5. Step 5: Solve for x
    x = 26,904.11/146.77
  6. Step 6: Final answer
    x = 183.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.