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Finding the Fourth Proportional to 322.50, 483.62 and 137.49

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Solution

The fourth proportional to 322.50, 483.62 and 137.49 is: 206.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.50 : 483.62 = 137.49 : x
  2. Step 2: Convert to fraction form
    322.50/483.62 = 137.49/x
  3. Step 3: Cross multiply
    322.50x = 483.62 × 137.49
  4. Step 4: Simplify right side
    322.50x = 66,490.41
  5. Step 5: Solve for x
    x = 66,490.41/322.50
  6. Step 6: Final answer
    x = 206.17

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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.