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Finding the Fourth Proportional to 93, 128.40 and 67.20

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Solution

The fourth proportional to 93, 128.40 and 67.20 is: 92.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    93 : 128.40 = 67.20 : x
  2. Step 2: Convert to fraction form
    93/128.40 = 67.20/x
  3. Step 3: Cross multiply
    93x = 128.40 × 67.20
  4. Step 4: Simplify right side
    93x = 8,628.48
  5. Step 5: Solve for x
    x = 8,628.48/93
  6. Step 6: Final answer
    x = 92.78

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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.