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Finding the Fourth Proportional to 148.35, 220.94 and 146.60

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Solution

The fourth proportional to 148.35, 220.94 and 146.60 is: 218.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.35 : 220.94 = 146.60 : x
  2. Step 2: Convert to fraction form
    148.35/220.94 = 146.60/x
  3. Step 3: Cross multiply
    148.35x = 220.94 × 146.60
  4. Step 4: Simplify right side
    148.35x = 32,389.80
  5. Step 5: Solve for x
    x = 32,389.80/148.35
  6. Step 6: Final answer
    x = 218.33

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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.