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Finding the Fourth Proportional to 219.93, 303.84 and 146.22

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Solution

The fourth proportional to 219.93, 303.84 and 146.22 is: 202.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.93 : 303.84 = 146.22 : x
  2. Step 2: Convert to fraction form
    219.93/303.84 = 146.22/x
  3. Step 3: Cross multiply
    219.93x = 303.84 × 146.22
  4. Step 4: Simplify right side
    219.93x = 44,427.48
  5. Step 5: Solve for x
    x = 44,427.48/219.93
  6. Step 6: Final answer
    x = 202.01

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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.