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Finding the Fourth Proportional to 438.40, 657.28 and 222.08

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Solution

The fourth proportional to 438.40, 657.28 and 222.08 is: 332.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.40 : 657.28 = 222.08 : x
  2. Step 2: Convert to fraction form
    438.40/657.28 = 222.08/x
  3. Step 3: Cross multiply
    438.40x = 657.28 × 222.08
  4. Step 4: Simplify right side
    438.40x = 145,968.74
  5. Step 5: Solve for x
    x = 145,968.74/438.40
  6. Step 6: Final answer
    x = 332.96

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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.