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Finding the Fourth Proportional to 370.90, 556.41 and 139.81

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Solution

The fourth proportional to 370.90, 556.41 and 139.81 is: 209.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.90 : 556.41 = 139.81 : x
  2. Step 2: Convert to fraction form
    370.90/556.41 = 139.81/x
  3. Step 3: Cross multiply
    370.90x = 556.41 × 139.81
  4. Step 4: Simplify right side
    370.90x = 77,788.20
  5. Step 5: Solve for x
    x = 77,788.20/370.90
  6. Step 6: Final answer
    x = 209.73

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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.