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Finding the Fourth Proportional to 222.39, 305.52 and 187.35

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Solution

The fourth proportional to 222.39, 305.52 and 187.35 is: 257.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.39 : 305.52 = 187.35 : x
  2. Step 2: Convert to fraction form
    222.39/305.52 = 187.35/x
  3. Step 3: Cross multiply
    222.39x = 305.52 × 187.35
  4. Step 4: Simplify right side
    222.39x = 57,239.17
  5. Step 5: Solve for x
    x = 57,239.17/222.39
  6. Step 6: Final answer
    x = 257.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.