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Finding the Fourth Proportional to 222.72, 307.41 and 157.32

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Solution

The fourth proportional to 222.72, 307.41 and 157.32 is: 217.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.72 : 307.41 = 157.32 : x
  2. Step 2: Convert to fraction form
    222.72/307.41 = 157.32/x
  3. Step 3: Cross multiply
    222.72x = 307.41 × 157.32
  4. Step 4: Simplify right side
    222.72x = 48,361.74
  5. Step 5: Solve for x
    x = 48,361.74/222.72
  6. Step 6: Final answer
    x = 217.14

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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.