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Finding the Fourth Proportional to 114.29, 157.78 and 86.78

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Solution

The fourth proportional to 114.29, 157.78 and 86.78 is: 119.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.29 : 157.78 = 86.78 : x
  2. Step 2: Convert to fraction form
    114.29/157.78 = 86.78/x
  3. Step 3: Cross multiply
    114.29x = 157.78 × 86.78
  4. Step 4: Simplify right side
    114.29x = 13,692.15
  5. Step 5: Solve for x
    x = 13,692.15/114.29
  6. Step 6: Final answer
    x = 119.80

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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.