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Finding the Fourth Proportional to 160.15, 220.76 and 134.01

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Solution

The fourth proportional to 160.15, 220.76 and 134.01 is: 184.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.15 : 220.76 = 134.01 : x
  2. Step 2: Convert to fraction form
    160.15/220.76 = 134.01/x
  3. Step 3: Cross multiply
    160.15x = 220.76 × 134.01
  4. Step 4: Simplify right side
    160.15x = 29,583.71
  5. Step 5: Solve for x
    x = 29,583.71/160.15
  6. Step 6: Final answer
    x = 184.73

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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.