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Finding the Fourth Proportional to 222.81, 307.50 and 129.58

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Solution

The fourth proportional to 222.81, 307.50 and 129.58 is: 178.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.81 : 307.50 = 129.58 : x
  2. Step 2: Convert to fraction form
    222.81/307.50 = 129.58/x
  3. Step 3: Cross multiply
    222.81x = 307.50 × 129.58
  4. Step 4: Simplify right side
    222.81x = 39,845.85
  5. Step 5: Solve for x
    x = 39,845.85/222.81
  6. Step 6: Final answer
    x = 178.83

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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.