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Finding the Fourth Proportional to 128.64, 176.64 and 117.12

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Solution

The fourth proportional to 128.64, 176.64 and 117.12 is: 160.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.64 : 176.64 = 117.12 : x
  2. Step 2: Convert to fraction form
    128.64/176.64 = 117.12/x
  3. Step 3: Cross multiply
    128.64x = 176.64 × 117.12
  4. Step 4: Simplify right side
    128.64x = 20,688.08
  5. Step 5: Solve for x
    x = 20,688.08/128.64
  6. Step 6: Final answer
    x = 160.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.