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Finding the Fourth Proportional to 222.06, 306.26 and 187.50

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Solution

The fourth proportional to 222.06, 306.26 and 187.50 is: 258.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.06 : 306.26 = 187.50 : x
  2. Step 2: Convert to fraction form
    222.06/306.26 = 187.50/x
  3. Step 3: Cross multiply
    222.06x = 306.26 × 187.50
  4. Step 4: Simplify right side
    222.06x = 57,423.75
  5. Step 5: Solve for x
    x = 57,423.75/222.06
  6. Step 6: Final answer
    x = 258.60

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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.