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Finding the Fourth Proportional to 84.34, 116.35 and 53.20

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Solution

The fourth proportional to 84.34, 116.35 and 53.20 is: 73.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.34 : 116.35 = 53.20 : x
  2. Step 2: Convert to fraction form
    84.34/116.35 = 53.20/x
  3. Step 3: Cross multiply
    84.34x = 116.35 × 53.20
  4. Step 4: Simplify right side
    84.34x = 6,188.97
  5. Step 5: Solve for x
    x = 6,188.97/84.34
  6. Step 6: Final answer
    x = 73.39

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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.