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Finding the Fourth Proportional to 86.15, 118.74 and 74.25

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Solution

The fourth proportional to 86.15, 118.74 and 74.25 is: 102.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.15 : 118.74 = 74.25 : x
  2. Step 2: Convert to fraction form
    86.15/118.74 = 74.25/x
  3. Step 3: Cross multiply
    86.15x = 118.74 × 74.25
  4. Step 4: Simplify right side
    86.15x = 8,816.45
  5. Step 5: Solve for x
    x = 8,816.45/86.15
  6. Step 6: Final answer
    x = 102.34

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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.