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Finding the Fourth Proportional to 85.70, 118.33 and 52.97

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Solution

The fourth proportional to 85.70, 118.33 and 52.97 is: 73.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.70 : 118.33 = 52.97 : x
  2. Step 2: Convert to fraction form
    85.70/118.33 = 52.97/x
  3. Step 3: Cross multiply
    85.70x = 118.33 × 52.97
  4. Step 4: Simplify right side
    85.70x = 6,268.10
  5. Step 5: Solve for x
    x = 6,268.10/85.70
  6. Step 6: Final answer
    x = 73.14

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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.