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Finding the Fourth Proportional to 160.77, 221.82 and 98.58

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Solution

The fourth proportional to 160.77, 221.82 and 98.58 is: 136.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.77 : 221.82 = 98.58 : x
  2. Step 2: Convert to fraction form
    160.77/221.82 = 98.58/x
  3. Step 3: Cross multiply
    160.77x = 221.82 × 98.58
  4. Step 4: Simplify right side
    160.77x = 21,867.02
  5. Step 5: Solve for x
    x = 21,867.02/160.77
  6. Step 6: Final answer
    x = 136.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.