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Finding the Fourth Proportional to 438.88, 657.71 and 222.20

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Solution

The fourth proportional to 438.88, 657.71 and 222.20 is: 332.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.88 : 657.71 = 222.20 : x
  2. Step 2: Convert to fraction form
    438.88/657.71 = 222.20/x
  3. Step 3: Cross multiply
    438.88x = 657.71 × 222.20
  4. Step 4: Simplify right side
    438.88x = 146,143.70
  5. Step 5: Solve for x
    x = 146,143.70/438.88
  6. Step 6: Final answer
    x = 332.99

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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.