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Finding the Fourth Proportional to 146.67, 219.75 and 77.16

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Solution

The fourth proportional to 146.67, 219.75 and 77.16 is: 115.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.67 : 219.75 = 77.16 : x
  2. Step 2: Convert to fraction form
    146.67/219.75 = 77.16/x
  3. Step 3: Cross multiply
    146.67x = 219.75 × 77.16
  4. Step 4: Simplify right side
    146.67x = 16,955.86
  5. Step 5: Solve for x
    x = 16,955.86/146.67
  6. Step 6: Final answer
    x = 115.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.