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Finding the Fourth Proportional to 114.29, 170.45 and 103.96

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Solution

The fourth proportional to 114.29, 170.45 and 103.96 is: 155.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.29 : 170.45 = 103.96 : x
  2. Step 2: Convert to fraction form
    114.29/170.45 = 103.96/x
  3. Step 3: Cross multiply
    114.29x = 170.45 × 103.96
  4. Step 4: Simplify right side
    114.29x = 17,719.82
  5. Step 5: Solve for x
    x = 17,719.82/114.29
  6. Step 6: Final answer
    x = 155.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.