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Finding the Fourth Proportional to 78.53, 116.97 and 78.08

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Solution

The fourth proportional to 78.53, 116.97 and 78.08 is: 116.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.53 : 116.97 = 78.08 : x
  2. Step 2: Convert to fraction form
    78.53/116.97 = 78.08/x
  3. Step 3: Cross multiply
    78.53x = 116.97 × 78.08
  4. Step 4: Simplify right side
    78.53x = 9,132.43
  5. Step 5: Solve for x
    x = 9,132.43/78.53
  6. Step 6: Final answer
    x = 116.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.