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Finding the Fourth Proportional to 183.58, 275.55 and 138.22

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Solution

The fourth proportional to 183.58, 275.55 and 138.22 is: 207.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.58 : 275.55 = 138.22 : x
  2. Step 2: Convert to fraction form
    183.58/275.55 = 138.22/x
  3. Step 3: Cross multiply
    183.58x = 275.55 × 138.22
  4. Step 4: Simplify right side
    183.58x = 38,085.83
  5. Step 5: Solve for x
    x = 38,085.83/183.58
  6. Step 6: Final answer
    x = 207.46

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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.