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Finding the Fourth Proportional to 93.80, 128.25 and 91.24

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Solution

The fourth proportional to 93.80, 128.25 and 91.24 is: 124.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.80 : 128.25 = 91.24 : x
  2. Step 2: Convert to fraction form
    93.80/128.25 = 91.24/x
  3. Step 3: Cross multiply
    93.80x = 128.25 × 91.24
  4. Step 4: Simplify right side
    93.80x = 11,701.53
  5. Step 5: Solve for x
    x = 11,701.53/93.80
  6. Step 6: Final answer
    x = 124.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.