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Finding the Fourth Proportional to 77.03, 114.74 and 72.89

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Solution

The fourth proportional to 77.03, 114.74 and 72.89 is: 108.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.03 : 114.74 = 72.89 : x
  2. Step 2: Convert to fraction form
    77.03/114.74 = 72.89/x
  3. Step 3: Cross multiply
    77.03x = 114.74 × 72.89
  4. Step 4: Simplify right side
    77.03x = 8,363.40
  5. Step 5: Solve for x
    x = 8,363.40/77.03
  6. Step 6: Final answer
    x = 108.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.