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Finding the Fourth Proportional to 146.84, 219.75 and 128.60

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Solution

The fourth proportional to 146.84, 219.75 and 128.60 is: 192.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.84 : 219.75 = 128.60 : x
  2. Step 2: Convert to fraction form
    146.84/219.75 = 128.60/x
  3. Step 3: Cross multiply
    146.84x = 219.75 × 128.60
  4. Step 4: Simplify right side
    146.84x = 28,259.85
  5. Step 5: Solve for x
    x = 28,259.85/146.84
  6. Step 6: Final answer
    x = 192.45

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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.