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Finding the Fourth Proportional to 76.55, 115.43 and 72.29

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Solution

The fourth proportional to 76.55, 115.43 and 72.29 is: 109.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.55 : 115.43 = 72.29 : x
  2. Step 2: Convert to fraction form
    76.55/115.43 = 72.29/x
  3. Step 3: Cross multiply
    76.55x = 115.43 × 72.29
  4. Step 4: Simplify right side
    76.55x = 8,344.36
  5. Step 5: Solve for x
    x = 8,344.36/76.55
  6. Step 6: Final answer
    x = 109.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.