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Finding the Fourth Proportional to 368.36, 552.14 and 137.10

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Solution

The fourth proportional to 368.36, 552.14 and 137.10 is: 205.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.36 : 552.14 = 137.10 : x
  2. Step 2: Convert to fraction form
    368.36/552.14 = 137.10/x
  3. Step 3: Cross multiply
    368.36x = 552.14 × 137.10
  4. Step 4: Simplify right side
    368.36x = 75,698.39
  5. Step 5: Solve for x
    x = 75,698.39/368.36
  6. Step 6: Final answer
    x = 205.50

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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.