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Finding the Fourth Proportional to 76.02, 114.01 and 41.79

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Solution

The fourth proportional to 76.02, 114.01 and 41.79 is: 62.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.02 : 114.01 = 41.79 : x
  2. Step 2: Convert to fraction form
    76.02/114.01 = 41.79/x
  3. Step 3: Cross multiply
    76.02x = 114.01 × 41.79
  4. Step 4: Simplify right side
    76.02x = 4,764.48
  5. Step 5: Solve for x
    x = 4,764.48/76.02
  6. Step 6: Final answer
    x = 62.67

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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.