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Finding the Fourth Proportional to 144.12, 216.01 and 75.68

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Solution

The fourth proportional to 144.12, 216.01 and 75.68 is: 113.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.12 : 216.01 = 75.68 : x
  2. Step 2: Convert to fraction form
    144.12/216.01 = 75.68/x
  3. Step 3: Cross multiply
    144.12x = 216.01 × 75.68
  4. Step 4: Simplify right side
    144.12x = 16,347.64
  5. Step 5: Solve for x
    x = 16,347.64/144.12
  6. Step 6: Final answer
    x = 113.43

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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.