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Finding the Fourth Proportional to 160.05, 221.06 and 128.23

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Solution

The fourth proportional to 160.05, 221.06 and 128.23 is: 177.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.05 : 221.06 = 128.23 : x
  2. Step 2: Convert to fraction form
    160.05/221.06 = 128.23/x
  3. Step 3: Cross multiply
    160.05x = 221.06 × 128.23
  4. Step 4: Simplify right side
    160.05x = 28,345.42
  5. Step 5: Solve for x
    x = 28,345.42/160.05
  6. Step 6: Final answer
    x = 177.10

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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.