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Finding the Fourth Proportional to 93.14, 128.70 and 67.00

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Solution

The fourth proportional to 93.14, 128.70 and 67.00 is: 92.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.14 : 128.70 = 67.00 : x
  2. Step 2: Convert to fraction form
    93.14/128.70 = 67.00/x
  3. Step 3: Cross multiply
    93.14x = 128.70 × 67.00
  4. Step 4: Simplify right side
    93.14x = 8,622.24
  5. Step 5: Solve for x
    x = 8,622.24/93.14
  6. Step 6: Final answer
    x = 92.57

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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.