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Finding the Fourth Proportional to 160.96, 242.44 and 153.28

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Solution

The fourth proportional to 160.96, 242.44 and 153.28 is: 230.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.96 : 242.44 = 153.28 : x
  2. Step 2: Convert to fraction form
    160.96/242.44 = 153.28/x
  3. Step 3: Cross multiply
    160.96x = 242.44 × 153.28
  4. Step 4: Simplify right side
    160.96x = 37,161.20
  5. Step 5: Solve for x
    x = 37,161.20/160.96
  6. Step 6: Final answer
    x = 230.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.