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Finding the Fourth Proportional to 220.15, 303.43 and 146.34

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Solution

The fourth proportional to 220.15, 303.43 and 146.34 is: 201.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.15 : 303.43 = 146.34 : x
  2. Step 2: Convert to fraction form
    220.15/303.43 = 146.34/x
  3. Step 3: Cross multiply
    220.15x = 303.43 × 146.34
  4. Step 4: Simplify right side
    220.15x = 44,403.95
  5. Step 5: Solve for x
    x = 44,403.95/220.15
  6. Step 6: Final answer
    x = 201.70

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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.