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Finding the Fourth Proportional to 93.44, 128.80 and 77.04

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Solution

The fourth proportional to 93.44, 128.80 and 77.04 is: 106.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.44 : 128.80 = 77.04 : x
  2. Step 2: Convert to fraction form
    93.44/128.80 = 77.04/x
  3. Step 3: Cross multiply
    93.44x = 128.80 × 77.04
  4. Step 4: Simplify right side
    93.44x = 9,922.75
  5. Step 5: Solve for x
    x = 9,922.75/93.44
  6. Step 6: Final answer
    x = 106.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.