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Finding the Fourth Proportional to 438.09, 656.24 and 245.31

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Solution

The fourth proportional to 438.09, 656.24 and 245.31 is: 367.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.09 : 656.24 = 245.31 : x
  2. Step 2: Convert to fraction form
    438.09/656.24 = 245.31/x
  3. Step 3: Cross multiply
    438.09x = 656.24 × 245.31
  4. Step 4: Simplify right side
    438.09x = 160,982.23
  5. Step 5: Solve for x
    x = 160,982.23/438.09
  6. Step 6: Final answer
    x = 367.46

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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.