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Finding the Fourth Proportional to 114.62, 158.26 and 102.94

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Solution

The fourth proportional to 114.62, 158.26 and 102.94 is: 142.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.62 : 158.26 = 102.94 : x
  2. Step 2: Convert to fraction form
    114.62/158.26 = 102.94/x
  3. Step 3: Cross multiply
    114.62x = 158.26 × 102.94
  4. Step 4: Simplify right side
    114.62x = 16,291.28
  5. Step 5: Solve for x
    x = 16,291.28/114.62
  6. Step 6: Final answer
    x = 142.13

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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.