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Finding the Fourth Proportional to 438.23, 656.37 and 300.66

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Solution

The fourth proportional to 438.23, 656.37 and 300.66 is: 450.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.23 : 656.37 = 300.66 : x
  2. Step 2: Convert to fraction form
    438.23/656.37 = 300.66/x
  3. Step 3: Cross multiply
    438.23x = 656.37 × 300.66
  4. Step 4: Simplify right side
    438.23x = 197,344.20
  5. Step 5: Solve for x
    x = 197,344.20/438.23
  6. Step 6: Final answer
    x = 450.33

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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.