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Finding the Fourth Proportional to 355.05, 532.80 and 138.63

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Solution

The fourth proportional to 355.05, 532.80 and 138.63 is: 208.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.05 : 532.80 = 138.63 : x
  2. Step 2: Convert to fraction form
    355.05/532.80 = 138.63/x
  3. Step 3: Cross multiply
    355.05x = 532.80 × 138.63
  4. Step 4: Simplify right side
    355.05x = 73,862.06
  5. Step 5: Solve for x
    x = 73,862.06/355.05
  6. Step 6: Final answer
    x = 208.03

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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.