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Finding the Fourth Proportional to 220.14, 303.84 and 146.58

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Solution

The fourth proportional to 220.14, 303.84 and 146.58 is: 202.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.14 : 303.84 = 146.58 : x
  2. Step 2: Convert to fraction form
    220.14/303.84 = 146.58/x
  3. Step 3: Cross multiply
    220.14x = 303.84 × 146.58
  4. Step 4: Simplify right side
    220.14x = 44,536.87
  5. Step 5: Solve for x
    x = 44,536.87/220.14
  6. Step 6: Final answer
    x = 202.31

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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.