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Finding the Fourth Proportional to 353.75, 530.92 and 137.48

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Solution

The fourth proportional to 353.75, 530.92 and 137.48 is: 206.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.75 : 530.92 = 137.48 : x
  2. Step 2: Convert to fraction form
    353.75/530.92 = 137.48/x
  3. Step 3: Cross multiply
    353.75x = 530.92 × 137.48
  4. Step 4: Simplify right side
    353.75x = 72,989.41
  5. Step 5: Solve for x
    x = 72,989.41/353.75
  6. Step 6: Final answer
    x = 206.33

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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.