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Finding the Fourth Proportional to 354.44, 531.76 and 138.18

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Solution

The fourth proportional to 354.44, 531.76 and 138.18 is: 207.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.44 : 531.76 = 138.18 : x
  2. Step 2: Convert to fraction form
    354.44/531.76 = 138.18/x
  3. Step 3: Cross multiply
    354.44x = 531.76 × 138.18
  4. Step 4: Simplify right side
    354.44x = 73,478.60
  5. Step 5: Solve for x
    x = 73,478.60/354.44
  6. Step 6: Final answer
    x = 207.31

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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.