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Finding the Fourth Proportional to 146.45, 218.59 and 129.15

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Solution

The fourth proportional to 146.45, 218.59 and 129.15 is: 192.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.45 : 218.59 = 129.15 : x
  2. Step 2: Convert to fraction form
    146.45/218.59 = 129.15/x
  3. Step 3: Cross multiply
    146.45x = 218.59 × 129.15
  4. Step 4: Simplify right side
    146.45x = 28,230.55
  5. Step 5: Solve for x
    x = 28,230.55/146.45
  6. Step 6: Final answer
    x = 192.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.