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Finding the Fourth Proportional to 76.68, 114.81 and 63.21

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Solution

The fourth proportional to 76.68, 114.81 and 63.21 is: 94.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.68 : 114.81 = 63.21 : x
  2. Step 2: Convert to fraction form
    76.68/114.81 = 63.21/x
  3. Step 3: Cross multiply
    76.68x = 114.81 × 63.21
  4. Step 4: Simplify right side
    76.68x = 7,256.82
  5. Step 5: Solve for x
    x = 7,256.82/76.68
  6. Step 6: Final answer
    x = 94.64

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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.