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Finding the Fourth Proportional to 160.29, 219.84 and 155.64

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Solution

The fourth proportional to 160.29, 219.84 and 155.64 is: 213.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.29 : 219.84 = 155.64 : x
  2. Step 2: Convert to fraction form
    160.29/219.84 = 155.64/x
  3. Step 3: Cross multiply
    160.29x = 219.84 × 155.64
  4. Step 4: Simplify right side
    160.29x = 34,215.90
  5. Step 5: Solve for x
    x = 34,215.90/160.29
  6. Step 6: Final answer
    x = 213.46

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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.