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Finding the Fourth Proportional to 438.21, 656.39 and 264.79

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Solution

The fourth proportional to 438.21, 656.39 and 264.79 is: 396.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.21 : 656.39 = 264.79 : x
  2. Step 2: Convert to fraction form
    438.21/656.39 = 264.79/x
  3. Step 3: Cross multiply
    438.21x = 656.39 × 264.79
  4. Step 4: Simplify right side
    438.21x = 173,803.30
  5. Step 5: Solve for x
    x = 173,803.30/438.21
  6. Step 6: Final answer
    x = 396.62

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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.