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Finding the Fourth Proportional to 77.46, 116.64 and 62.27

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Solution

The fourth proportional to 77.46, 116.64 and 62.27 is: 93.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.46 : 116.64 = 62.27 : x
  2. Step 2: Convert to fraction form
    77.46/116.64 = 62.27/x
  3. Step 3: Cross multiply
    77.46x = 116.64 × 62.27
  4. Step 4: Simplify right side
    77.46x = 7,263.03
  5. Step 5: Solve for x
    x = 7,263.03/77.46
  6. Step 6: Final answer
    x = 93.77

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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.