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Finding the Fourth Proportional to 438.11, 656.00 and 264.53

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Solution

The fourth proportional to 438.11, 656.00 and 264.53 is: 396.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.11 : 656.00 = 264.53 : x
  2. Step 2: Convert to fraction form
    438.11/656.00 = 264.53/x
  3. Step 3: Cross multiply
    438.11x = 656.00 × 264.53
  4. Step 4: Simplify right side
    438.11x = 173,527.08
  5. Step 5: Solve for x
    x = 173,527.08/438.11
  6. Step 6: Final answer
    x = 396.09

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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.