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Finding the Fourth Proportional to 114.64, 158.28 and 77.80

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Solution

The fourth proportional to 114.64, 158.28 and 77.80 is: 107.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.64 : 158.28 = 77.80 : x
  2. Step 2: Convert to fraction form
    114.64/158.28 = 77.80/x
  3. Step 3: Cross multiply
    114.64x = 158.28 × 77.80
  4. Step 4: Simplify right side
    114.64x = 12,314.18
  5. Step 5: Solve for x
    x = 12,314.18/114.64
  6. Step 6: Final answer
    x = 107.42

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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.