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Finding the Fourth Proportional to 160.77, 221.53 and 108.93

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Solution

The fourth proportional to 160.77, 221.53 and 108.93 is: 150.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.77 : 221.53 = 108.93 : x
  2. Step 2: Convert to fraction form
    160.77/221.53 = 108.93/x
  3. Step 3: Cross multiply
    160.77x = 221.53 × 108.93
  4. Step 4: Simplify right side
    160.77x = 24,132.03
  5. Step 5: Solve for x
    x = 24,132.03/160.77
  6. Step 6: Final answer
    x = 150.10

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