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Finding the Fourth Proportional to 222.46, 333.58 and 78.14

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Solution

The fourth proportional to 222.46, 333.58 and 78.14 is: 117.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.46 : 333.58 = 78.14 : x
  2. Step 2: Convert to fraction form
    222.46/333.58 = 78.14/x
  3. Step 3: Cross multiply
    222.46x = 333.58 × 78.14
  4. Step 4: Simplify right side
    222.46x = 26,065.94
  5. Step 5: Solve for x
    x = 26,065.94/222.46
  6. Step 6: Final answer
    x = 117.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.