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Finding the Fourth Proportional to 76.28, 114.34 and 53.48

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Solution

The fourth proportional to 76.28, 114.34 and 53.48 is: 80.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.28 : 114.34 = 53.48 : x
  2. Step 2: Convert to fraction form
    76.28/114.34 = 53.48/x
  3. Step 3: Cross multiply
    76.28x = 114.34 × 53.48
  4. Step 4: Simplify right side
    76.28x = 6,114.90
  5. Step 5: Solve for x
    x = 6,114.90/76.28
  6. Step 6: Final answer
    x = 80.16

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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.