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Finding the Fourth Proportional to 116.34, 160.50 and 83.53

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Solution

The fourth proportional to 116.34, 160.50 and 83.53 is: 115.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.34 : 160.50 = 83.53 : x
  2. Step 2: Convert to fraction form
    116.34/160.50 = 83.53/x
  3. Step 3: Cross multiply
    116.34x = 160.50 × 83.53
  4. Step 4: Simplify right side
    116.34x = 13,406.57
  5. Step 5: Solve for x
    x = 13,406.57/116.34
  6. Step 6: Final answer
    x = 115.24

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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.