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Finding the Fourth Proportional to 160.21, 219.92 and 151.00

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Solution

The fourth proportional to 160.21, 219.92 and 151.00 is: 207.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.21 : 219.92 = 151.00 : x
  2. Step 2: Convert to fraction form
    160.21/219.92 = 151.00/x
  3. Step 3: Cross multiply
    160.21x = 219.92 × 151.00
  4. Step 4: Simplify right side
    160.21x = 33,206.62
  5. Step 5: Solve for x
    x = 33,206.62/160.21
  6. Step 6: Final answer
    x = 207.27

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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.