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Finding the Fourth Proportional to 354.79, 532.41 and 138.37

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Solution

The fourth proportional to 354.79, 532.41 and 138.37 is: 207.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.79 : 532.41 = 138.37 : x
  2. Step 2: Convert to fraction form
    354.79/532.41 = 138.37/x
  3. Step 3: Cross multiply
    354.79x = 532.41 × 138.37
  4. Step 4: Simplify right side
    354.79x = 73,669.57
  5. Step 5: Solve for x
    x = 73,669.57/354.79
  6. Step 6: Final answer
    x = 207.64

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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.