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Finding the Fourth Proportional to 220.24, 303.81 and 153.75

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Solution

The fourth proportional to 220.24, 303.81 and 153.75 is: 212.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.24 : 303.81 = 153.75 : x
  2. Step 2: Convert to fraction form
    220.24/303.81 = 153.75/x
  3. Step 3: Cross multiply
    220.24x = 303.81 × 153.75
  4. Step 4: Simplify right side
    220.24x = 46,709.27
  5. Step 5: Solve for x
    x = 46,709.27/220.24
  6. Step 6: Final answer
    x = 212.08

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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.