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Finding the Fourth Proportional to 76.42, 114.61 and 35.76

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Solution

The fourth proportional to 76.42, 114.61 and 35.76 is: 53.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.42 : 114.61 = 35.76 : x
  2. Step 2: Convert to fraction form
    76.42/114.61 = 35.76/x
  3. Step 3: Cross multiply
    76.42x = 114.61 × 35.76
  4. Step 4: Simplify right side
    76.42x = 4,098.45
  5. Step 5: Solve for x
    x = 4,098.45/76.42
  6. Step 6: Final answer
    x = 53.63

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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.