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Finding the Fourth Proportional to 240.03, 360.14 and 137.39

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Solution

The fourth proportional to 240.03, 360.14 and 137.39 is: 206.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.03 : 360.14 = 137.39 : x
  2. Step 2: Convert to fraction form
    240.03/360.14 = 137.39/x
  3. Step 3: Cross multiply
    240.03x = 360.14 × 137.39
  4. Step 4: Simplify right side
    240.03x = 49,477.15
  5. Step 5: Solve for x
    x = 49,477.15/240.03
  6. Step 6: Final answer
    x = 206.13

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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.