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Finding the Fourth Proportional to 438.40, 656.76 and 245.44

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Solution

The fourth proportional to 438.40, 656.76 and 245.44 is: 367.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.40 : 656.76 = 245.44 : x
  2. Step 2: Convert to fraction form
    438.40/656.76 = 245.44/x
  3. Step 3: Cross multiply
    438.40x = 656.76 × 245.44
  4. Step 4: Simplify right side
    438.40x = 161,195.17
  5. Step 5: Solve for x
    x = 161,195.17/438.40
  6. Step 6: Final answer
    x = 367.69

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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.