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Finding the Fourth Proportional to 438.76, 657.49 and 222.04

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Solution

The fourth proportional to 438.76, 657.49 and 222.04 is: 332.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.76 : 657.49 = 222.04 : x
  2. Step 2: Convert to fraction form
    438.76/657.49 = 222.04/x
  3. Step 3: Cross multiply
    438.76x = 657.49 × 222.04
  4. Step 4: Simplify right side
    438.76x = 145,989.08
  5. Step 5: Solve for x
    x = 145,989.08/438.76
  6. Step 6: Final answer
    x = 332.73

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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.