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Finding the Fourth Proportional to 114.78, 158.27 and 85.62

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Solution

The fourth proportional to 114.78, 158.27 and 85.62 is: 118.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.78 : 158.27 = 85.62 : x
  2. Step 2: Convert to fraction form
    114.78/158.27 = 85.62/x
  3. Step 3: Cross multiply
    114.78x = 158.27 × 85.62
  4. Step 4: Simplify right side
    114.78x = 13,550.65
  5. Step 5: Solve for x
    x = 13,550.65/114.78
  6. Step 6: Final answer
    x = 118.06

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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.