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Finding the Fourth Proportional to 116.19, 160.40 and 85.07

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Solution

The fourth proportional to 116.19, 160.40 and 85.07 is: 117.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.19 : 160.40 = 85.07 : x
  2. Step 2: Convert to fraction form
    116.19/160.40 = 85.07/x
  3. Step 3: Cross multiply
    116.19x = 160.40 × 85.07
  4. Step 4: Simplify right side
    116.19x = 13,644.00
  5. Step 5: Solve for x
    x = 13,644.00/116.19
  6. Step 6: Final answer
    x = 117.43

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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.