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Finding the Fourth Proportional to 220, 303.12 and 154.32

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Solution

The fourth proportional to 220, 303.12 and 154.32 is: 212.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    220 : 303.12 = 154.32 : x
  2. Step 2: Convert to fraction form
    220/303.12 = 154.32/x
  3. Step 3: Cross multiply
    220x = 303.12 × 154.32
  4. Step 4: Simplify right side
    220x = 46,777.48
  5. Step 5: Solve for x
    x = 46,777.48/220
  6. Step 6: Final answer
    x = 212.62

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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.