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Finding the Fourth Proportional to 438.28, 656.53 and 203.69

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Solution

The fourth proportional to 438.28, 656.53 and 203.69 is: 305.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.28 : 656.53 = 203.69 : x
  2. Step 2: Convert to fraction form
    438.28/656.53 = 203.69/x
  3. Step 3: Cross multiply
    438.28x = 656.53 × 203.69
  4. Step 4: Simplify right side
    438.28x = 133,724.80
  5. Step 5: Solve for x
    x = 133,724.80/438.28
  6. Step 6: Final answer
    x = 305.11

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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.