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Finding the Fourth Proportional to 114.18, 170.91 and 82.10

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Solution

The fourth proportional to 114.18, 170.91 and 82.10 is: 122.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.18 : 170.91 = 82.10 : x
  2. Step 2: Convert to fraction form
    114.18/170.91 = 82.10/x
  3. Step 3: Cross multiply
    114.18x = 170.91 × 82.10
  4. Step 4: Simplify right side
    114.18x = 14,031.71
  5. Step 5: Solve for x
    x = 14,031.71/114.18
  6. Step 6: Final answer
    x = 122.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.