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Finding the Fourth Proportional to 113.28, 170.70 and 102.45

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Solution

The fourth proportional to 113.28, 170.70 and 102.45 is: 154.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.28 : 170.70 = 102.45 : x
  2. Step 2: Convert to fraction form
    113.28/170.70 = 102.45/x
  3. Step 3: Cross multiply
    113.28x = 170.70 × 102.45
  4. Step 4: Simplify right side
    113.28x = 17,488.22
  5. Step 5: Solve for x
    x = 17,488.22/113.28
  6. Step 6: Final answer
    x = 154.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.