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Finding the Fourth Proportional to 128.64, 193 and 56.48

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Solution

The fourth proportional to 128.64, 193 and 56.48 is: 84.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.64 : 193 = 56.48 : x
  2. Step 2: Convert to fraction form
    128.64/193 = 56.48/x
  3. Step 3: Cross multiply
    128.64x = 193 × 56.48
  4. Step 4: Simplify right side
    128.64x = 10,900.64
  5. Step 5: Solve for x
    x = 10,900.64/128.64
  6. Step 6: Final answer
    x = 84.74

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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.