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Finding the Fourth Proportional to 93.64, 141.28 and 92.56

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Solution

The fourth proportional to 93.64, 141.28 and 92.56 is: 139.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.64 : 141.28 = 92.56 : x
  2. Step 2: Convert to fraction form
    93.64/141.28 = 92.56/x
  3. Step 3: Cross multiply
    93.64x = 141.28 × 92.56
  4. Step 4: Simplify right side
    93.64x = 13,076.88
  5. Step 5: Solve for x
    x = 13,076.88/93.64
  6. Step 6: Final answer
    x = 139.65

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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.