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Finding the Fourth Proportional to 160.07, 219.42 and 159.80

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Solution

The fourth proportional to 160.07, 219.42 and 159.80 is: 219.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.07 : 219.42 = 159.80 : x
  2. Step 2: Convert to fraction form
    160.07/219.42 = 159.80/x
  3. Step 3: Cross multiply
    160.07x = 219.42 × 159.80
  4. Step 4: Simplify right side
    160.07x = 35,062.22
  5. Step 5: Solve for x
    x = 35,062.22/160.07
  6. Step 6: Final answer
    x = 219.05

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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.