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Finding the Fourth Proportional to 370.78, 556.20 and 154.24

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Solution

The fourth proportional to 370.78, 556.20 and 154.24 is: 231.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.78 : 556.20 = 154.24 : x
  2. Step 2: Convert to fraction form
    370.78/556.20 = 154.24/x
  3. Step 3: Cross multiply
    370.78x = 556.20 × 154.24
  4. Step 4: Simplify right side
    370.78x = 85,788.29
  5. Step 5: Solve for x
    x = 85,788.29/370.78
  6. Step 6: Final answer
    x = 231.37

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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.