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Finding the Fourth Proportional to 144.25, 216.32 and 67.20

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Solution

The fourth proportional to 144.25, 216.32 and 67.20 is: 100.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.25 : 216.32 = 67.20 : x
  2. Step 2: Convert to fraction form
    144.25/216.32 = 67.20/x
  3. Step 3: Cross multiply
    144.25x = 216.32 × 67.20
  4. Step 4: Simplify right side
    144.25x = 14,536.62
  5. Step 5: Solve for x
    x = 14,536.62/144.25
  6. Step 6: Final answer
    x = 100.77

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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.