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Finding the Fourth Proportional to 223.57, 308.46 and 153.86

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Solution

The fourth proportional to 223.57, 308.46 and 153.86 is: 212.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.57 : 308.46 = 153.86 : x
  2. Step 2: Convert to fraction form
    223.57/308.46 = 153.86/x
  3. Step 3: Cross multiply
    223.57x = 308.46 × 153.86
  4. Step 4: Simplify right side
    223.57x = 47,458.11
  5. Step 5: Solve for x
    x = 47,458.11/223.57
  6. Step 6: Final answer
    x = 212.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.