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Finding the Fourth Proportional to 144.40, 215.44 and 121.72

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Solution

The fourth proportional to 144.40, 215.44 and 121.72 is: 181.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.40 : 215.44 = 121.72 : x
  2. Step 2: Convert to fraction form
    144.40/215.44 = 121.72/x
  3. Step 3: Cross multiply
    144.40x = 215.44 × 121.72
  4. Step 4: Simplify right side
    144.40x = 26,223.36
  5. Step 5: Solve for x
    x = 26,223.36/144.40
  6. Step 6: Final answer
    x = 181.60

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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.