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Finding the Fourth Proportional to 84.19, 116.20 and 51.46

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Solution

The fourth proportional to 84.19, 116.20 and 51.46 is: 71.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.19 : 116.20 = 51.46 : x
  2. Step 2: Convert to fraction form
    84.19/116.20 = 51.46/x
  3. Step 3: Cross multiply
    84.19x = 116.20 × 51.46
  4. Step 4: Simplify right side
    84.19x = 5,979.81
  5. Step 5: Solve for x
    x = 5,979.81/84.19
  6. Step 6: Final answer
    x = 71.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.