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Finding the Fourth Proportional to 116.10, 158.90 and 114.89

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Solution

The fourth proportional to 116.10, 158.90 and 114.89 is: 157.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.10 : 158.90 = 114.89 : x
  2. Step 2: Convert to fraction form
    116.10/158.90 = 114.89/x
  3. Step 3: Cross multiply
    116.10x = 158.90 × 114.89
  4. Step 4: Simplify right side
    116.10x = 18,254.65
  5. Step 5: Solve for x
    x = 18,254.65/116.10
  6. Step 6: Final answer
    x = 157.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.