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Finding the Fourth Proportional to 160.16, 238.96 and 133.28

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Solution

The fourth proportional to 160.16, 238.96 and 133.28 is: 198.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.16 : 238.96 = 133.28 : x
  2. Step 2: Convert to fraction form
    160.16/238.96 = 133.28/x
  3. Step 3: Cross multiply
    160.16x = 238.96 × 133.28
  4. Step 4: Simplify right side
    160.16x = 31,848.59
  5. Step 5: Solve for x
    x = 31,848.59/160.16
  6. Step 6: Final answer
    x = 198.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.