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Finding the Fourth Proportional to 116, 160.12 and 84.92

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Solution

The fourth proportional to 116, 160.12 and 84.92 is: 117.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    116 : 160.12 = 84.92 : x
  2. Step 2: Convert to fraction form
    116/160.12 = 84.92/x
  3. Step 3: Cross multiply
    116x = 160.12 × 84.92
  4. Step 4: Simplify right side
    116x = 13,597.39
  5. Step 5: Solve for x
    x = 13,597.39/116
  6. Step 6: Final answer
    x = 117.22

Related Problems

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Double scale
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Similar ratio
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1.5x scale

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.