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Finding the Fourth Proportional to 78.25, 117.38 and 46.39

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Solution

The fourth proportional to 78.25, 117.38 and 46.39 is: 69.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.25 : 117.38 = 46.39 : x
  2. Step 2: Convert to fraction form
    78.25/117.38 = 46.39/x
  3. Step 3: Cross multiply
    78.25x = 117.38 × 46.39
  4. Step 4: Simplify right side
    78.25x = 5,445.26
  5. Step 5: Solve for x
    x = 5,445.26/78.25
  6. Step 6: Final answer
    x = 69.59

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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.