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Finding the Fourth Proportional to 114.45, 170.65 and 114.30

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Solution

The fourth proportional to 114.45, 170.65 and 114.30 is: 170.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.45 : 170.65 = 114.30 : x
  2. Step 2: Convert to fraction form
    114.45/170.65 = 114.30/x
  3. Step 3: Cross multiply
    114.45x = 170.65 × 114.30
  4. Step 4: Simplify right side
    114.45x = 19,505.30
  5. Step 5: Solve for x
    x = 19,505.30/114.45
  6. Step 6: Final answer
    x = 170.43

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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.