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Finding the Fourth Proportional to 93.68, 140.28 and 64.88

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Solution

The fourth proportional to 93.68, 140.28 and 64.88 is: 97.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.68 : 140.28 = 64.88 : x
  2. Step 2: Convert to fraction form
    93.68/140.28 = 64.88/x
  3. Step 3: Cross multiply
    93.68x = 140.28 × 64.88
  4. Step 4: Simplify right side
    93.68x = 9,101.37
  5. Step 5: Solve for x
    x = 9,101.37/93.68
  6. Step 6: Final answer
    x = 97.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.