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Finding the Fourth Proportional to 115.26, 159.03 and 78.40

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Solution

The fourth proportional to 115.26, 159.03 and 78.40 is: 108.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.26 : 159.03 = 78.40 : x
  2. Step 2: Convert to fraction form
    115.26/159.03 = 78.40/x
  3. Step 3: Cross multiply
    115.26x = 159.03 × 78.40
  4. Step 4: Simplify right side
    115.26x = 12,467.95
  5. Step 5: Solve for x
    x = 12,467.95/115.26
  6. Step 6: Final answer
    x = 108.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.