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Finding the Fourth Proportional to 85.38, 117.82 and 46.57

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Solution

The fourth proportional to 85.38, 117.82 and 46.57 is: 64.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.38 : 117.82 = 46.57 : x
  2. Step 2: Convert to fraction form
    85.38/117.82 = 46.57/x
  3. Step 3: Cross multiply
    85.38x = 117.82 × 46.57
  4. Step 4: Simplify right side
    85.38x = 5,486.29
  5. Step 5: Solve for x
    x = 5,486.29/85.38
  6. Step 6: Final answer
    x = 64.26

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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.