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Finding the Fourth Proportional to 438.64, 658.12 and 222.16

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Solution

The fourth proportional to 438.64, 658.12 and 222.16 is: 333.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.64 : 658.12 = 222.16 : x
  2. Step 2: Convert to fraction form
    438.64/658.12 = 222.16/x
  3. Step 3: Cross multiply
    438.64x = 658.12 × 222.16
  4. Step 4: Simplify right side
    438.64x = 146,207.94
  5. Step 5: Solve for x
    x = 146,207.94/438.64
  6. Step 6: Final answer
    x = 333.32

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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.