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Finding the Fourth Proportional to 77.22, 116.43 and 73.02

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Solution

The fourth proportional to 77.22, 116.43 and 73.02 is: 110.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.22 : 116.43 = 73.02 : x
  2. Step 2: Convert to fraction form
    77.22/116.43 = 73.02/x
  3. Step 3: Cross multiply
    77.22x = 116.43 × 73.02
  4. Step 4: Simplify right side
    77.22x = 8,501.72
  5. Step 5: Solve for x
    x = 8,501.72/77.22
  6. Step 6: Final answer
    x = 110.10

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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.