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Finding the Fourth Proportional to 226.08, 312.02 and 156.12

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Solution

The fourth proportional to 226.08, 312.02 and 156.12 is: 215.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.08 : 312.02 = 156.12 : x
  2. Step 2: Convert to fraction form
    226.08/312.02 = 156.12/x
  3. Step 3: Cross multiply
    226.08x = 312.02 × 156.12
  4. Step 4: Simplify right side
    226.08x = 48,712.56
  5. Step 5: Solve for x
    x = 48,712.56/226.08
  6. Step 6: Final answer
    x = 215.47

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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.