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Finding the Fourth Proportional to 226.02, 312.06 and 160.40

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Solution

The fourth proportional to 226.02, 312.06 and 160.40 is: 221.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.02 : 312.06 = 160.40 : x
  2. Step 2: Convert to fraction form
    226.02/312.06 = 160.40/x
  3. Step 3: Cross multiply
    226.02x = 312.06 × 160.40
  4. Step 4: Simplify right side
    226.02x = 50,054.42
  5. Step 5: Solve for x
    x = 50,054.42/226.02
  6. Step 6: Final answer
    x = 221.46

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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.