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Finding the Fourth Proportional to 113.27, 170.55 and 84.58

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Solution

The fourth proportional to 113.27, 170.55 and 84.58 is: 127.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.27 : 170.55 = 84.58 : x
  2. Step 2: Convert to fraction form
    113.27/170.55 = 84.58/x
  3. Step 3: Cross multiply
    113.27x = 170.55 × 84.58
  4. Step 4: Simplify right side
    113.27x = 14,424.69
  5. Step 5: Solve for x
    x = 14,424.69/113.27
  6. Step 6: Final answer
    x = 127.35

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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.