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Finding the Fourth Proportional to 225.58, 339.18 and 185.08

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Solution

The fourth proportional to 225.58, 339.18 and 185.08 is: 278.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.58 : 339.18 = 185.08 : x
  2. Step 2: Convert to fraction form
    225.58/339.18 = 185.08/x
  3. Step 3: Cross multiply
    225.58x = 339.18 × 185.08
  4. Step 4: Simplify right side
    225.58x = 62,775.43
  5. Step 5: Solve for x
    x = 62,775.43/225.58
  6. Step 6: Final answer
    x = 278.28

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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.