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Finding the Fourth Proportional to 160.30, 238.66 and 158.03

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Solution

The fourth proportional to 160.30, 238.66 and 158.03 is: 235.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.30 : 238.66 = 158.03 : x
  2. Step 2: Convert to fraction form
    160.30/238.66 = 158.03/x
  3. Step 3: Cross multiply
    160.30x = 238.66 × 158.03
  4. Step 4: Simplify right side
    160.30x = 37,713.85
  5. Step 5: Solve for x
    x = 37,713.85/160.30
  6. Step 6: Final answer
    x = 235.27

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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.